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Finding the Fourth Proportional to 29,617.29, 40,871.77 and 16,188.55

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Solution

The fourth proportional to 29,617.29, 40,871.77 and 16,188.55 is: 22,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,617.29 : 40,871.77 = 16,188.55 : x
  2. Step 2: Convert to fraction form
    29,617.29/40,871.77 = 16,188.55/x
  3. Step 3: Cross multiply
    29,617.29x = 40,871.77 × 16,188.55
  4. Step 4: Simplify right side
    29,617.29x = 661,654,549.58
  5. Step 5: Solve for x
    x = 661,654,549.58/29,617.29
  6. Step 6: Final answer
    x = 22,340.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.