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Finding the Fourth Proportional to 32,432.40, 48,612.60 and 12,704.40

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Solution

The fourth proportional to 32,432.40, 48,612.60 and 12,704.40 is: 19,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432.40 : 48,612.60 = 12,704.40 : x
  2. Step 2: Convert to fraction form
    32,432.40/48,612.60 = 12,704.40/x
  3. Step 3: Cross multiply
    32,432.40x = 48,612.60 × 12,704.40
  4. Step 4: Simplify right side
    32,432.40x = 617,593,915.44
  5. Step 5: Solve for x
    x = 617,593,915.44/32,432.40
  6. Step 6: Final answer
    x = 19,042.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.