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Finding the Fourth Proportional to 52,031.31, 71,802.96 and 28,157.95

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Solution

The fourth proportional to 52,031.31, 71,802.96 and 28,157.95 is: 38,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031.31 : 71,802.96 = 28,157.95 : x
  2. Step 2: Convert to fraction form
    52,031.31/71,802.96 = 28,157.95/x
  3. Step 3: Cross multiply
    52,031.31x = 71,802.96 × 28,157.95
  4. Step 4: Simplify right side
    52,031.31x = 2,021,824,016.74
  5. Step 5: Solve for x
    x = 2,021,824,016.74/52,031.31
  6. Step 6: Final answer
    x = 38,857.83

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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.