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Finding the Fourth Proportional to 106,294.62, 159,469.47 and 31,411.74

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Solution

The fourth proportional to 106,294.62, 159,469.47 and 31,411.74 is: 47,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.62 : 159,469.47 = 31,411.74 : x
  2. Step 2: Convert to fraction form
    106,294.62/159,469.47 = 31,411.74/x
  3. Step 3: Cross multiply
    106,294.62x = 159,469.47 × 31,411.74
  4. Step 4: Simplify right side
    106,294.62x = 5,009,213,529.58
  5. Step 5: Solve for x
    x = 5,009,213,529.58/106,294.62
  6. Step 6: Final answer
    x = 47,125.75

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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.