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Finding the Fourth Proportional to 84,139.32, 126,123.60 and 54,576

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Solution

The fourth proportional to 84,139.32, 126,123.60 and 54,576 is: 81,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,139.32 : 126,123.60 = 54,576 : x
  2. Step 2: Convert to fraction form
    84,139.32/126,123.60 = 54,576/x
  3. Step 3: Cross multiply
    84,139.32x = 126,123.60 × 54,576
  4. Step 4: Simplify right side
    84,139.32x = 6,883,321,593.60
  5. Step 5: Solve for x
    x = 6,883,321,593.60/84,139.32
  6. Step 6: Final answer
    x = 81,808.62

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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.