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Finding the Fourth Proportional to 82,505.48, 123,738.36 and 38,089.58

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Solution

The fourth proportional to 82,505.48, 123,738.36 and 38,089.58 is: 57,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,505.48 : 123,738.36 = 38,089.58 : x
  2. Step 2: Convert to fraction form
    82,505.48/123,738.36 = 38,089.58/x
  3. Step 3: Cross multiply
    82,505.48x = 123,738.36 × 38,089.58
  4. Step 4: Simplify right side
    82,505.48x = 4,713,141,543.60
  5. Step 5: Solve for x
    x = 4,713,141,543.60/82,505.48
  6. Step 6: Final answer
    x = 57,125.20

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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.