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Finding the Fourth Proportional to 58,829.65, 81,185.54 and 31,972.16

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Solution

The fourth proportional to 58,829.65, 81,185.54 and 31,972.16 is: 44,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,829.65 : 81,185.54 = 31,972.16 : x
  2. Step 2: Convert to fraction form
    58,829.65/81,185.54 = 31,972.16/x
  3. Step 3: Cross multiply
    58,829.65x = 81,185.54 × 31,972.16
  4. Step 4: Simplify right side
    58,829.65x = 2,595,676,726.68
  5. Step 5: Solve for x
    x = 2,595,676,726.68/58,829.65
  6. Step 6: Final answer
    x = 44,121.92

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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.