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Finding the Fourth Proportional to 32,002.42, 48,011.02 and 9,819.04

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Solution

The fourth proportional to 32,002.42, 48,011.02 and 9,819.04 is: 14,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.42 : 48,011.02 = 9,819.04 : x
  2. Step 2: Convert to fraction form
    32,002.42/48,011.02 = 9,819.04/x
  3. Step 3: Cross multiply
    32,002.42x = 48,011.02 × 9,819.04
  4. Step 4: Simplify right side
    32,002.42x = 471,422,125.82
  5. Step 5: Solve for x
    x = 471,422,125.82/32,002.42
  6. Step 6: Final answer
    x = 14,730.83

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1.5x scale

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.