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Finding the Fourth Proportional to 31,442.64, 47,143.08 and 12,454.68

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Solution

The fourth proportional to 31,442.64, 47,143.08 and 12,454.68 is: 18,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.64 : 47,143.08 = 12,454.68 : x
  2. Step 2: Convert to fraction form
    31,442.64/47,143.08 = 12,454.68/x
  3. Step 3: Cross multiply
    31,442.64x = 47,143.08 × 12,454.68
  4. Step 4: Simplify right side
    31,442.64x = 587,151,975.61
  5. Step 5: Solve for x
    x = 587,151,975.61/31,442.64
  6. Step 6: Final answer
    x = 18,673.75

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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.