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Finding the Fourth Proportional to 32,169.07, 48,251.28 and 9,981.88

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Solution

The fourth proportional to 32,169.07, 48,251.28 and 9,981.88 is: 14,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.07 : 48,251.28 = 9,981.88 : x
  2. Step 2: Convert to fraction form
    32,169.07/48,251.28 = 9,981.88/x
  3. Step 3: Cross multiply
    32,169.07x = 48,251.28 × 9,981.88
  4. Step 4: Simplify right side
    32,169.07x = 481,638,486.81
  5. Step 5: Solve for x
    x = 481,638,486.81/32,169.07
  6. Step 6: Final answer
    x = 14,972.10

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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.