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Finding the Fourth Proportional to 31,400.70, 47,101.50 and 7,708.32

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Solution

The fourth proportional to 31,400.70, 47,101.50 and 7,708.32 is: 11,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.70 : 47,101.50 = 7,708.32 : x
  2. Step 2: Convert to fraction form
    31,400.70/47,101.50 = 7,708.32/x
  3. Step 3: Cross multiply
    31,400.70x = 47,101.50 × 7,708.32
  4. Step 4: Simplify right side
    31,400.70x = 363,073,434.48
  5. Step 5: Solve for x
    x = 363,073,434.48/31,400.70
  6. Step 6: Final answer
    x = 11,562.59

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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.