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Finding the Fourth Proportional to 106,711.92, 160,073.82 and 47,551.68

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Solution

The fourth proportional to 106,711.92, 160,073.82 and 47,551.68 is: 71,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,711.92 : 160,073.82 = 47,551.68 : x
  2. Step 2: Convert to fraction form
    106,711.92/160,073.82 = 47,551.68/x
  3. Step 3: Cross multiply
    106,711.92x = 160,073.82 × 47,551.68
  4. Step 4: Simplify right side
    106,711.92x = 7,611,779,065.02
  5. Step 5: Solve for x
    x = 7,611,779,065.02/106,711.92
  6. Step 6: Final answer
    x = 71,330.17

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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.