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Finding the Fourth Proportional to 101,488.53, 152,251.93 and 31,351.44

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Solution

The fourth proportional to 101,488.53, 152,251.93 and 31,351.44 is: 47,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,488.53 : 152,251.93 = 31,351.44 : x
  2. Step 2: Convert to fraction form
    101,488.53/152,251.93 = 31,351.44/x
  3. Step 3: Cross multiply
    101,488.53x = 152,251.93 × 31,351.44
  4. Step 4: Simplify right side
    101,488.53x = 4,773,317,248.28
  5. Step 5: Solve for x
    x = 4,773,317,248.28/101,488.53
  6. Step 6: Final answer
    x = 47,033.07

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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.