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Finding the Fourth Proportional to 31,538.52, 47,254.25 and 19,032.27

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Solution

The fourth proportional to 31,538.52, 47,254.25 and 19,032.27 is: 28,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.52 : 47,254.25 = 19,032.27 : x
  2. Step 2: Convert to fraction form
    31,538.52/47,254.25 = 19,032.27/x
  3. Step 3: Cross multiply
    31,538.52x = 47,254.25 × 19,032.27
  4. Step 4: Simplify right side
    31,538.52x = 899,355,644.65
  5. Step 5: Solve for x
    x = 899,355,644.65/31,538.52
  6. Step 6: Final answer
    x = 28,516.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.