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Finding the Fourth Proportional to 106,366.53, 159,549.30 and 31,487.10

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Solution

The fourth proportional to 106,366.53, 159,549.30 and 31,487.10 is: 47,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,366.53 : 159,549.30 = 31,487.10 : x
  2. Step 2: Convert to fraction form
    106,366.53/159,549.30 = 31,487.10/x
  3. Step 3: Cross multiply
    106,366.53x = 159,549.30 × 31,487.10
  4. Step 4: Simplify right side
    106,366.53x = 5,023,744,764.03
  5. Step 5: Solve for x
    x = 5,023,744,764.03/106,366.53
  6. Step 6: Final answer
    x = 47,230.50

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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.