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Finding the Fourth Proportional to 83,779.38, 115,620.21 and 47,961.18

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Solution

The fourth proportional to 83,779.38, 115,620.21 and 47,961.18 is: 66,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,779.38 : 115,620.21 = 47,961.18 : x
  2. Step 2: Convert to fraction form
    83,779.38/115,620.21 = 47,961.18/x
  3. Step 3: Cross multiply
    83,779.38x = 115,620.21 × 47,961.18
  4. Step 4: Simplify right side
    83,779.38x = 5,545,281,703.45
  5. Step 5: Solve for x
    x = 5,545,281,703.45/83,779.38
  6. Step 6: Final answer
    x = 66,189.10

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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.