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Finding the Fourth Proportional to 61,713.29, 92,570.24 and 14,966.16

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Solution

The fourth proportional to 61,713.29, 92,570.24 and 14,966.16 is: 22,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713.29 : 92,570.24 = 14,966.16 : x
  2. Step 2: Convert to fraction form
    61,713.29/92,570.24 = 14,966.16/x
  3. Step 3: Cross multiply
    61,713.29x = 92,570.24 × 14,966.16
  4. Step 4: Simplify right side
    61,713.29x = 1,385,420,948.25
  5. Step 5: Solve for x
    x = 1,385,420,948.25/61,713.29
  6. Step 6: Final answer
    x = 22,449.31

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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.