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Finding the Fourth Proportional to 82,062.46, 123,094.23 and 29,472.40

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Solution

The fourth proportional to 82,062.46, 123,094.23 and 29,472.40 is: 44,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,062.46 : 123,094.23 = 29,472.40 : x
  2. Step 2: Convert to fraction form
    82,062.46/123,094.23 = 29,472.40/x
  3. Step 3: Cross multiply
    82,062.46x = 123,094.23 × 29,472.40
  4. Step 4: Simplify right side
    82,062.46x = 3,627,882,384.25
  5. Step 5: Solve for x
    x = 3,627,882,384.25/82,062.46
  6. Step 6: Final answer
    x = 44,208.79

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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.