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Finding the Fourth Proportional to 29,117.76, 40,182.52 and 16,542.50

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Solution

The fourth proportional to 29,117.76, 40,182.52 and 16,542.50 is: 22,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,117.76 : 40,182.52 = 16,542.50 : x
  2. Step 2: Convert to fraction form
    29,117.76/40,182.52 = 16,542.50/x
  3. Step 3: Cross multiply
    29,117.76x = 40,182.52 × 16,542.50
  4. Step 4: Simplify right side
    29,117.76x = 664,719,337.10
  5. Step 5: Solve for x
    x = 664,719,337.10/29,117.76
  6. Step 6: Final answer
    x = 22,828.66

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