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Finding the Fourth Proportional to 32,191.68, 48,285.39 and 11,126.82

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Solution

The fourth proportional to 32,191.68, 48,285.39 and 11,126.82 is: 16,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.68 : 48,285.39 = 11,126.82 : x
  2. Step 2: Convert to fraction form
    32,191.68/48,285.39 = 11,126.82/x
  3. Step 3: Cross multiply
    32,191.68x = 48,285.39 × 11,126.82
  4. Step 4: Simplify right side
    32,191.68x = 537,262,843.16
  5. Step 5: Solve for x
    x = 537,262,843.16/32,191.68
  6. Step 6: Final answer
    x = 16,689.49

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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.