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Finding the Fourth Proportional to 32,414.88, 48,584.16 and 12,411.30

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Solution

The fourth proportional to 32,414.88, 48,584.16 and 12,411.30 is: 18,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.88 : 48,584.16 = 12,411.30 : x
  2. Step 2: Convert to fraction form
    32,414.88/48,584.16 = 12,411.30/x
  3. Step 3: Cross multiply
    32,414.88x = 48,584.16 × 12,411.30
  4. Step 4: Simplify right side
    32,414.88x = 602,992,585.01
  5. Step 5: Solve for x
    x = 602,992,585.01/32,414.88
  6. Step 6: Final answer
    x = 18,602.34

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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.