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Finding the Fourth Proportional to 84,038.50, 126,057.75 and 31,472.74

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Solution

The fourth proportional to 84,038.50, 126,057.75 and 31,472.74 is: 47,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,038.50 : 126,057.75 = 31,472.74 : x
  2. Step 2: Convert to fraction form
    84,038.50/126,057.75 = 31,472.74/x
  3. Step 3: Cross multiply
    84,038.50x = 126,057.75 × 31,472.74
  4. Step 4: Simplify right side
    84,038.50x = 3,967,382,790.74
  5. Step 5: Solve for x
    x = 3,967,382,790.74/84,038.50
  6. Step 6: Final answer
    x = 47,209.11

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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.