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Finding the Fourth Proportional to 32,165.76, 48,249.92 and 9,981.44

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Solution

The fourth proportional to 32,165.76, 48,249.92 and 9,981.44 is: 14,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.76 : 48,249.92 = 9,981.44 : x
  2. Step 2: Convert to fraction form
    32,165.76/48,249.92 = 9,981.44/x
  3. Step 3: Cross multiply
    32,165.76x = 48,249.92 × 9,981.44
  4. Step 4: Simplify right side
    32,165.76x = 481,603,681.48
  5. Step 5: Solve for x
    x = 481,603,681.48/32,165.76
  6. Step 6: Final answer
    x = 14,972.56

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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.