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Finding the Fourth Proportional to 107,085, 160,511.52 and 47,839.08

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Solution

The fourth proportional to 107,085, 160,511.52 and 47,839.08 is: 71,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,085 : 160,511.52 = 47,839.08 : x
  2. Step 2: Convert to fraction form
    107,085/160,511.52 = 47,839.08/x
  3. Step 3: Cross multiply
    107,085x = 160,511.52 × 47,839.08
  4. Step 4: Simplify right side
    107,085x = 7,678,723,446.20
  5. Step 5: Solve for x
    x = 7,678,723,446.20/107,085
  6. Step 6: Final answer
    x = 71,706.81

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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.