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Finding the Fourth Proportional to 85,877.45, 118,512.78 and 47,635.75

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Solution

The fourth proportional to 85,877.45, 118,512.78 and 47,635.75 is: 65,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,877.45 : 118,512.78 = 47,635.75 : x
  2. Step 2: Convert to fraction form
    85,877.45/118,512.78 = 47,635.75/x
  3. Step 3: Cross multiply
    85,877.45x = 118,512.78 × 47,635.75
  4. Step 4: Simplify right side
    85,877.45x = 5,645,444,921.71
  5. Step 5: Solve for x
    x = 5,645,444,921.71/85,877.45
  6. Step 6: Final answer
    x = 65,738.39

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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.