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Finding the Fourth Proportional to 52,049.34, 71,802.63 and 31,899.78

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Solution

The fourth proportional to 52,049.34, 71,802.63 and 31,899.78 is: 44,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.34 : 71,802.63 = 31,899.78 : x
  2. Step 2: Convert to fraction form
    52,049.34/71,802.63 = 31,899.78/x
  3. Step 3: Cross multiply
    52,049.34x = 71,802.63 × 31,899.78
  4. Step 4: Simplify right side
    52,049.34x = 2,290,488,100.42
  5. Step 5: Solve for x
    x = 2,290,488,100.42/52,049.34
  6. Step 6: Final answer
    x = 44,006.09

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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.