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Finding the Fourth Proportional to 32,759.66, 49,065.65 and 22,942.76

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Solution

The fourth proportional to 32,759.66, 49,065.65 and 22,942.76 is: 34,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759.66 : 49,065.65 = 22,942.76 : x
  2. Step 2: Convert to fraction form
    32,759.66/49,065.65 = 22,942.76/x
  3. Step 3: Cross multiply
    32,759.66x = 49,065.65 × 22,942.76
  4. Step 4: Simplify right side
    32,759.66x = 1,125,701,434.18
  5. Step 5: Solve for x
    x = 1,125,701,434.18/32,759.66
  6. Step 6: Final answer
    x = 34,362.43

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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.