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Finding the Fourth Proportional to 32,167.87, 48,252.41 and 9,981.97

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Solution

The fourth proportional to 32,167.87, 48,252.41 and 9,981.97 is: 14,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.87 : 48,252.41 = 9,981.97 : x
  2. Step 2: Convert to fraction form
    32,167.87/48,252.41 = 9,981.97/x
  3. Step 3: Cross multiply
    32,167.87x = 48,252.41 × 9,981.97
  4. Step 4: Simplify right side
    32,167.87x = 481,654,109.05
  5. Step 5: Solve for x
    x = 481,654,109.05/32,167.87
  6. Step 6: Final answer
    x = 14,973.14

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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.