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Finding the Fourth Proportional to 84,037.50, 126,056.25 and 31,471.74

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Solution

The fourth proportional to 84,037.50, 126,056.25 and 31,471.74 is: 47,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,037.50 : 126,056.25 = 31,471.74 : x
  2. Step 2: Convert to fraction form
    84,037.50/126,056.25 = 31,471.74/x
  3. Step 3: Cross multiply
    84,037.50x = 126,056.25 × 31,471.74
  4. Step 4: Simplify right side
    84,037.50x = 3,967,209,525.38
  5. Step 5: Solve for x
    x = 3,967,209,525.38/84,037.50
  6. Step 6: Final answer
    x = 47,207.61

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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.