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Finding the Fourth Proportional to 86,782, 119,759.16 and 47,038

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Solution

The fourth proportional to 86,782, 119,759.16 and 47,038 is: 64,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,782 : 119,759.16 = 47,038 : x
  2. Step 2: Convert to fraction form
    86,782/119,759.16 = 47,038/x
  3. Step 3: Cross multiply
    86,782x = 119,759.16 × 47,038
  4. Step 4: Simplify right side
    86,782x = 5,633,231,368.08
  5. Step 5: Solve for x
    x = 5,633,231,368.08/86,782
  6. Step 6: Final answer
    x = 64,912.44

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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.