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Finding the Fourth Proportional to 82,410.48, 123,532.35 and 32,471.16

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Solution

The fourth proportional to 82,410.48, 123,532.35 and 32,471.16 is: 48,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,410.48 : 123,532.35 = 32,471.16 : x
  2. Step 2: Convert to fraction form
    82,410.48/123,532.35 = 32,471.16/x
  3. Step 3: Cross multiply
    82,410.48x = 123,532.35 × 32,471.16
  4. Step 4: Simplify right side
    82,410.48x = 4,011,238,702.03
  5. Step 5: Solve for x
    x = 4,011,238,702.03/82,410.48
  6. Step 6: Final answer
    x = 48,673.89

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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.