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Finding the Fourth Proportional to 82,051.56, 123,079.86 and 25,892.16

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Solution

The fourth proportional to 82,051.56, 123,079.86 and 25,892.16 is: 38,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,051.56 : 123,079.86 = 25,892.16 : x
  2. Step 2: Convert to fraction form
    82,051.56/123,079.86 = 25,892.16/x
  3. Step 3: Cross multiply
    82,051.56x = 123,079.86 × 25,892.16
  4. Step 4: Simplify right side
    82,051.56x = 3,186,803,427.90
  5. Step 5: Solve for x
    x = 3,186,803,427.90/82,051.56
  6. Step 6: Final answer
    x = 38,839.04

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Why These Related Problems?

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