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Finding the Fourth Proportional to 65,230.80, 97,732.80 and 30,098.40

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Solution

The fourth proportional to 65,230.80, 97,732.80 and 30,098.40 is: 45,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.80 : 97,732.80 = 30,098.40 : x
  2. Step 2: Convert to fraction form
    65,230.80/97,732.80 = 30,098.40/x
  3. Step 3: Cross multiply
    65,230.80x = 97,732.80 × 30,098.40
  4. Step 4: Simplify right side
    65,230.80x = 2,941,600,907.52
  5. Step 5: Solve for x
    x = 2,941,600,907.52/65,230.80
  6. Step 6: Final answer
    x = 45,095.28

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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.