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Finding the Fourth Proportional to 31,411.92, 47,116.80 and 8,038.56

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Solution

The fourth proportional to 31,411.92, 47,116.80 and 8,038.56 is: 12,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.92 : 47,116.80 = 8,038.56 : x
  2. Step 2: Convert to fraction form
    31,411.92/47,116.80 = 8,038.56/x
  3. Step 3: Cross multiply
    31,411.92x = 47,116.80 × 8,038.56
  4. Step 4: Simplify right side
    31,411.92x = 378,751,223.81
  5. Step 5: Solve for x
    x = 378,751,223.81/31,411.92
  6. Step 6: Final answer
    x = 12,057.56

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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.