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Finding the Fourth Proportional to 106,488.48, 159,765.96 and 31,608.96

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Solution

The fourth proportional to 106,488.48, 159,765.96 and 31,608.96 is: 47,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,488.48 : 159,765.96 = 31,608.96 : x
  2. Step 2: Convert to fraction form
    106,488.48/159,765.96 = 31,608.96/x
  3. Step 3: Cross multiply
    106,488.48x = 159,765.96 × 31,608.96
  4. Step 4: Simplify right side
    106,488.48x = 5,050,035,839.00
  5. Step 5: Solve for x
    x = 5,050,035,839.00/106,488.48
  6. Step 6: Final answer
    x = 47,423.31

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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.