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Finding the Fourth Proportional to 85,117.96, 127,706.10 and 32,542.48

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Solution

The fourth proportional to 85,117.96, 127,706.10 and 32,542.48 is: 48,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,117.96 : 127,706.10 = 32,542.48 : x
  2. Step 2: Convert to fraction form
    85,117.96/127,706.10 = 32,542.48/x
  3. Step 3: Cross multiply
    85,117.96x = 127,706.10 × 32,542.48
  4. Step 4: Simplify right side
    85,117.96x = 4,155,873,205.13
  5. Step 5: Solve for x
    x = 4,155,873,205.13/85,117.96
  6. Step 6: Final answer
    x = 48,824.87

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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.