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Finding the Fourth Proportional to 38,175.68, 52,732.93 and 31,823.04

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Solution

The fourth proportional to 38,175.68, 52,732.93 and 31,823.04 is: 43,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175.68 : 52,732.93 = 31,823.04 : x
  2. Step 2: Convert to fraction form
    38,175.68/52,732.93 = 31,823.04/x
  3. Step 3: Cross multiply
    38,175.68x = 52,732.93 × 31,823.04
  4. Step 4: Simplify right side
    38,175.68x = 1,678,122,140.71
  5. Step 5: Solve for x
    x = 1,678,122,140.71/38,175.68
  6. Step 6: Final answer
    x = 43,957.88

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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.