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Finding the Fourth Proportional to 51,898.51, 71,605.13 and 29,229.57

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Solution

The fourth proportional to 51,898.51, 71,605.13 and 29,229.57 is: 40,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898.51 : 71,605.13 = 29,229.57 : x
  2. Step 2: Convert to fraction form
    51,898.51/71,605.13 = 29,229.57/x
  3. Step 3: Cross multiply
    51,898.51x = 71,605.13 × 29,229.57
  4. Step 4: Simplify right side
    51,898.51x = 2,092,987,159.69
  5. Step 5: Solve for x
    x = 2,092,987,159.69/51,898.51
  6. Step 6: Final answer
    x = 40,328.46

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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.