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Finding the Fourth Proportional to 106,049.46, 159,073.23 and 32,177.46

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Solution

The fourth proportional to 106,049.46, 159,073.23 and 32,177.46 is: 48,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.46 : 159,073.23 = 32,177.46 : x
  2. Step 2: Convert to fraction form
    106,049.46/159,073.23 = 32,177.46/x
  3. Step 3: Cross multiply
    106,049.46x = 159,073.23 × 32,177.46
  4. Step 4: Simplify right side
    106,049.46x = 5,118,572,495.40
  5. Step 5: Solve for x
    x = 5,118,572,495.40/106,049.46
  6. Step 6: Final answer
    x = 48,265.90

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1.5x scale

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.