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Finding the Fourth Proportional to 32,267.92, 48,404.96 and 12,548

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Solution

The fourth proportional to 32,267.92, 48,404.96 and 12,548 is: 18,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,267.92 : 48,404.96 = 12,548 : x
  2. Step 2: Convert to fraction form
    32,267.92/48,404.96 = 12,548/x
  3. Step 3: Cross multiply
    32,267.92x = 48,404.96 × 12,548
  4. Step 4: Simplify right side
    32,267.92x = 607,385,438.08
  5. Step 5: Solve for x
    x = 607,385,438.08/32,267.92
  6. Step 6: Final answer
    x = 18,823.20

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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.