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Finding the Fourth Proportional to 106,503.98, 159,789.11 and 31,624.51

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Solution

The fourth proportional to 106,503.98, 159,789.11 and 31,624.51 is: 47,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,503.98 : 159,789.11 = 31,624.51 : x
  2. Step 2: Convert to fraction form
    106,503.98/159,789.11 = 31,624.51/x
  3. Step 3: Cross multiply
    106,503.98x = 159,789.11 × 31,624.51
  4. Step 4: Simplify right side
    106,503.98x = 5,053,252,307.09
  5. Step 5: Solve for x
    x = 5,053,252,307.09/106,503.98
  6. Step 6: Final answer
    x = 47,446.61

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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.