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Finding the Fourth Proportional to 29,508.38, 40,721.76 and 16,080

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Solution

The fourth proportional to 29,508.38, 40,721.76 and 16,080 is: 22,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,508.38 : 40,721.76 = 16,080 : x
  2. Step 2: Convert to fraction form
    29,508.38/40,721.76 = 16,080/x
  3. Step 3: Cross multiply
    29,508.38x = 40,721.76 × 16,080
  4. Step 4: Simplify right side
    29,508.38x = 654,805,900.80
  5. Step 5: Solve for x
    x = 654,805,900.80/29,508.38
  6. Step 6: Final answer
    x = 22,190.51

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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.