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Finding the Fourth Proportional to 82,440, 123,654.24 and 43,019.28

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Solution

The fourth proportional to 82,440, 123,654.24 and 43,019.28 is: 64,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,440 : 123,654.24 = 43,019.28 : x
  2. Step 2: Convert to fraction form
    82,440/123,654.24 = 43,019.28/x
  3. Step 3: Cross multiply
    82,440x = 123,654.24 × 43,019.28
  4. Step 4: Simplify right side
    82,440x = 5,319,516,373.75
  5. Step 5: Solve for x
    x = 5,319,516,373.75/82,440
  6. Step 6: Final answer
    x = 64,525.91

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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.