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Finding the Fourth Proportional to 32,414.31, 48,597.57 and 12,682.71

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Solution

The fourth proportional to 32,414.31, 48,597.57 and 12,682.71 is: 19,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.31 : 48,597.57 = 12,682.71 : x
  2. Step 2: Convert to fraction form
    32,414.31/48,597.57 = 12,682.71/x
  3. Step 3: Cross multiply
    32,414.31x = 48,597.57 × 12,682.71
  4. Step 4: Simplify right side
    32,414.31x = 616,348,887.01
  5. Step 5: Solve for x
    x = 616,348,887.01/32,414.31
  6. Step 6: Final answer
    x = 19,014.72

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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.