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Finding the Fourth Proportional to 77,454.99, 116,377.16 and 49,387.95

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Solution

The fourth proportional to 77,454.99, 116,377.16 and 49,387.95 is: 74,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,454.99 : 116,377.16 = 49,387.95 : x
  2. Step 2: Convert to fraction form
    77,454.99/116,377.16 = 49,387.95/x
  3. Step 3: Cross multiply
    77,454.99x = 116,377.16 × 49,387.95
  4. Step 4: Simplify right side
    77,454.99x = 5,747,629,112.28
  5. Step 5: Solve for x
    x = 5,747,629,112.28/77,454.99
  6. Step 6: Final answer
    x = 74,206.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.