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Finding the Fourth Proportional to 85,494, 117,979.52 and 47,768.56

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Solution

The fourth proportional to 85,494, 117,979.52 and 47,768.56 is: 65,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,494 : 117,979.52 = 47,768.56 : x
  2. Step 2: Convert to fraction form
    85,494/117,979.52 = 47,768.56/x
  3. Step 3: Cross multiply
    85,494x = 117,979.52 × 47,768.56
  4. Step 4: Simplify right side
    85,494x = 5,635,711,779.89
  5. Step 5: Solve for x
    x = 5,635,711,779.89/85,494
  6. Step 6: Final answer
    x = 65,919.38

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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.