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Finding the Fourth Proportional to 31,102.32, 46,627.92 and 12,374.31

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Solution

The fourth proportional to 31,102.32, 46,627.92 and 12,374.31 is: 18,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.32 : 46,627.92 = 12,374.31 : x
  2. Step 2: Convert to fraction form
    31,102.32/46,627.92 = 12,374.31/x
  3. Step 3: Cross multiply
    31,102.32x = 46,627.92 × 12,374.31
  4. Step 4: Simplify right side
    31,102.32x = 576,988,336.74
  5. Step 5: Solve for x
    x = 576,988,336.74/31,102.32
  6. Step 6: Final answer
    x = 18,551.30

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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.