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Finding the Fourth Proportional to 32,957.28, 49,442.28 and 10,764.69

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Solution

The fourth proportional to 32,957.28, 49,442.28 and 10,764.69 is: 16,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.28 : 49,442.28 = 10,764.69 : x
  2. Step 2: Convert to fraction form
    32,957.28/49,442.28 = 10,764.69/x
  3. Step 3: Cross multiply
    32,957.28x = 49,442.28 × 10,764.69
  4. Step 4: Simplify right side
    32,957.28x = 532,230,817.09
  5. Step 5: Solve for x
    x = 532,230,817.09/32,957.28
  6. Step 6: Final answer
    x = 16,149.11

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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.