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Finding the Fourth Proportional to 65,197,012.80, 97,724,095.20 and 32,797,243.20

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Solution

The fourth proportional to 65,197,012.80, 97,724,095.20 and 32,797,243.20 is: 49,159,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197,012.80 : 97,724,095.20 = 32,797,243.20 : x
  2. Step 2: Convert to fraction form
    65,197,012.80/97,724,095.20 = 32,797,243.20/x
  3. Step 3: Cross multiply
    65,197,012.80x = 97,724,095.20 × 32,797,243.20
  4. Step 4: Simplify right side
    65,197,012.80x = 3,205,080,916,774,352.50
  5. Step 5: Solve for x
    x = 3,205,080,916,774,352.50/65,197,012.80
  6. Step 6: Final answer
    x = 49,159,935.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.