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Finding the Fourth Proportional to 82,580.98, 123,876.18 and 23,412

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Solution

The fourth proportional to 82,580.98, 123,876.18 and 23,412 is: 35,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.98 : 123,876.18 = 23,412 : x
  2. Step 2: Convert to fraction form
    82,580.98/123,876.18 = 23,412/x
  3. Step 3: Cross multiply
    82,580.98x = 123,876.18 × 23,412
  4. Step 4: Simplify right side
    82,580.98x = 2,900,189,126.16
  5. Step 5: Solve for x
    x = 2,900,189,126.16/82,580.98
  6. Step 6: Final answer
    x = 35,119.34

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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.