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Finding the Fourth Proportional to 32,116.02, 48,169.17 and 11,052.78

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Solution

The fourth proportional to 32,116.02, 48,169.17 and 11,052.78 is: 16,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.02 : 48,169.17 = 11,052.78 : x
  2. Step 2: Convert to fraction form
    32,116.02/48,169.17 = 11,052.78/x
  3. Step 3: Cross multiply
    32,116.02x = 48,169.17 × 11,052.78
  4. Step 4: Simplify right side
    32,116.02x = 532,403,238.79
  5. Step 5: Solve for x
    x = 532,403,238.79/32,116.02
  6. Step 6: Final answer
    x = 16,577.50

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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.