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Finding the Fourth Proportional to 29,742.69, 41,044.16 and 16,129.98

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Solution

The fourth proportional to 29,742.69, 41,044.16 and 16,129.98 is: 22,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.69 : 41,044.16 = 16,129.98 : x
  2. Step 2: Convert to fraction form
    29,742.69/41,044.16 = 16,129.98/x
  3. Step 3: Cross multiply
    29,742.69x = 41,044.16 × 16,129.98
  4. Step 4: Simplify right side
    29,742.69x = 662,041,399.27
  5. Step 5: Solve for x
    x = 662,041,399.27/29,742.69
  6. Step 6: Final answer
    x = 22,258.96

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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.