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Finding the Fourth Proportional to 106,902.76, 160,308.96 and 32,033.56

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Solution

The fourth proportional to 106,902.76, 160,308.96 and 32,033.56 is: 48,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,902.76 : 160,308.96 = 32,033.56 : x
  2. Step 2: Convert to fraction form
    106,902.76/160,308.96 = 32,033.56/x
  3. Step 3: Cross multiply
    106,902.76x = 160,308.96 × 32,033.56
  4. Step 4: Simplify right side
    106,902.76x = 5,135,266,688.70
  5. Step 5: Solve for x
    x = 5,135,266,688.70/106,902.76
  6. Step 6: Final answer
    x = 48,036.80

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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.