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Finding the Fourth Proportional to 82,602, 123,902.60 and 23,437.78

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Solution

The fourth proportional to 82,602, 123,902.60 and 23,437.78 is: 35,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,602 : 123,902.60 = 23,437.78 : x
  2. Step 2: Convert to fraction form
    82,602/123,902.60 = 23,437.78/x
  3. Step 3: Cross multiply
    82,602x = 123,902.60 × 23,437.78
  4. Step 4: Simplify right side
    82,602x = 2,904,001,453.28
  5. Step 5: Solve for x
    x = 2,904,001,453.28/82,602
  6. Step 6: Final answer
    x = 35,156.55

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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.