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Finding the Fourth Proportional to 32,793.31, 49,152.67 and 28,836.81

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Solution

The fourth proportional to 32,793.31, 49,152.67 and 28,836.81 is: 43,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,793.31 : 49,152.67 = 28,836.81 : x
  2. Step 2: Convert to fraction form
    32,793.31/49,152.67 = 28,836.81/x
  3. Step 3: Cross multiply
    32,793.31x = 49,152.67 × 28,836.81
  4. Step 4: Simplify right side
    32,793.31x = 1,417,406,295.90
  5. Step 5: Solve for x
    x = 1,417,406,295.90/32,793.31
  6. Step 6: Final answer
    x = 43,222.43

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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.