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Finding the Fourth Proportional to 83,657.26, 115,447.44 and 47,848.78

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Solution

The fourth proportional to 83,657.26, 115,447.44 and 47,848.78 is: 66,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.26 : 115,447.44 = 47,848.78 : x
  2. Step 2: Convert to fraction form
    83,657.26/115,447.44 = 47,848.78/x
  3. Step 3: Cross multiply
    83,657.26x = 115,447.44 × 47,848.78
  4. Step 4: Simplify right side
    83,657.26x = 5,524,019,158.12
  5. Step 5: Solve for x
    x = 5,524,019,158.12/83,657.26
  6. Step 6: Final answer
    x = 66,031.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.