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Finding the Fourth Proportional to 106,503.73, 159,788.74 and 31,624.26

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Solution

The fourth proportional to 106,503.73, 159,788.74 and 31,624.26 is: 47,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,503.73 : 159,788.74 = 31,624.26 : x
  2. Step 2: Convert to fraction form
    106,503.73/159,788.74 = 31,624.26/x
  3. Step 3: Cross multiply
    106,503.73x = 159,788.74 × 31,624.26
  4. Step 4: Simplify right side
    106,503.73x = 5,053,200,579.77
  5. Step 5: Solve for x
    x = 5,053,200,579.77/106,503.73
  6. Step 6: Final answer
    x = 47,446.23

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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.