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Finding the Fourth Proportional to 38,732.66, 53,431.14 and 25,834.14

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Solution

The fourth proportional to 38,732.66, 53,431.14 and 25,834.14 is: 35,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,732.66 : 53,431.14 = 25,834.14 : x
  2. Step 2: Convert to fraction form
    38,732.66/53,431.14 = 25,834.14/x
  3. Step 3: Cross multiply
    38,732.66x = 53,431.14 × 25,834.14
  4. Step 4: Simplify right side
    38,732.66x = 1,380,347,648.00
  5. Step 5: Solve for x
    x = 1,380,347,648.00/38,732.66
  6. Step 6: Final answer
    x = 35,637.83

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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.