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Finding the Fourth Proportional to 32,874.76, 49,319.43 and 9,499.42

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Solution

The fourth proportional to 32,874.76, 49,319.43 and 9,499.42 is: 14,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.76 : 49,319.43 = 9,499.42 : x
  2. Step 2: Convert to fraction form
    32,874.76/49,319.43 = 9,499.42/x
  3. Step 3: Cross multiply
    32,874.76x = 49,319.43 × 9,499.42
  4. Step 4: Simplify right side
    32,874.76x = 468,505,979.73
  5. Step 5: Solve for x
    x = 468,505,979.73/32,874.76
  6. Step 6: Final answer
    x = 14,251.24

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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.