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Finding the Fourth Proportional to 65,957.92, 98,935.50 and 16,038.28

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Solution

The fourth proportional to 65,957.92, 98,935.50 and 16,038.28 is: 24,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,957.92 : 98,935.50 = 16,038.28 : x
  2. Step 2: Convert to fraction form
    65,957.92/98,935.50 = 16,038.28/x
  3. Step 3: Cross multiply
    65,957.92x = 98,935.50 × 16,038.28
  4. Step 4: Simplify right side
    65,957.92x = 1,586,755,250.94
  5. Step 5: Solve for x
    x = 1,586,755,250.94/65,957.92
  6. Step 6: Final answer
    x = 24,057.08

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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.