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Finding the Fourth Proportional to 32,432.32, 48,640.80 and 14,891.20

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Solution

The fourth proportional to 32,432.32, 48,640.80 and 14,891.20 is: 22,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432.32 : 48,640.80 = 14,891.20 : x
  2. Step 2: Convert to fraction form
    32,432.32/48,640.80 = 14,891.20/x
  3. Step 3: Cross multiply
    32,432.32x = 48,640.80 × 14,891.20
  4. Step 4: Simplify right side
    32,432.32x = 724,319,880.96
  5. Step 5: Solve for x
    x = 724,319,880.96/32,432.32
  6. Step 6: Final answer
    x = 22,333.27

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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.