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Finding the Fourth Proportional to 32,958.78, 49,444.53 and 10,766.19

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Solution

The fourth proportional to 32,958.78, 49,444.53 and 10,766.19 is: 16,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.78 : 49,444.53 = 10,766.19 : x
  2. Step 2: Convert to fraction form
    32,958.78/49,444.53 = 10,766.19/x
  3. Step 3: Cross multiply
    32,958.78x = 49,444.53 × 10,766.19
  4. Step 4: Simplify right side
    32,958.78x = 532,329,204.44
  5. Step 5: Solve for x
    x = 532,329,204.44/32,958.78
  6. Step 6: Final answer
    x = 16,151.36

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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.