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Finding the Fourth Proportional to 64,957.20, 97,435.80 and 29,965.20

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Solution

The fourth proportional to 64,957.20, 97,435.80 and 29,965.20 is: 44,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,957.20 : 97,435.80 = 29,965.20 : x
  2. Step 2: Convert to fraction form
    64,957.20/97,435.80 = 29,965.20/x
  3. Step 3: Cross multiply
    64,957.20x = 97,435.80 × 29,965.20
  4. Step 4: Simplify right side
    64,957.20x = 2,919,683,234.16
  5. Step 5: Solve for x
    x = 2,919,683,234.16/64,957.20
  6. Step 6: Final answer
    x = 44,947.80

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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.