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Finding the Fourth Proportional to 31,686.14, 47,525.56 and 8,314.40

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Solution

The fourth proportional to 31,686.14, 47,525.56 and 8,314.40 is: 12,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.14 : 47,525.56 = 8,314.40 : x
  2. Step 2: Convert to fraction form
    31,686.14/47,525.56 = 8,314.40/x
  3. Step 3: Cross multiply
    31,686.14x = 47,525.56 × 8,314.40
  4. Step 4: Simplify right side
    31,686.14x = 395,146,236.86
  5. Step 5: Solve for x
    x = 395,146,236.86/31,686.14
  6. Step 6: Final answer
    x = 12,470.64

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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.