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Finding the Fourth Proportional to 77,779.38, 107,318.88 and 49,490.52

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Solution

The fourth proportional to 77,779.38, 107,318.88 and 49,490.52 is: 68,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779.38 : 107,318.88 = 49,490.52 : x
  2. Step 2: Convert to fraction form
    77,779.38/107,318.88 = 49,490.52/x
  3. Step 3: Cross multiply
    77,779.38x = 107,318.88 × 49,490.52
  4. Step 4: Simplify right side
    77,779.38x = 5,311,267,177.02
  5. Step 5: Solve for x
    x = 5,311,267,177.02/77,779.38
  6. Step 6: Final answer
    x = 68,286.31

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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.