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Finding the Fourth Proportional to 91,933.88, 137,772.24 and 49,722.80

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Solution

The fourth proportional to 91,933.88, 137,772.24 and 49,722.80 is: 74,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,933.88 : 137,772.24 = 49,722.80 : x
  2. Step 2: Convert to fraction form
    91,933.88/137,772.24 = 49,722.80/x
  3. Step 3: Cross multiply
    91,933.88x = 137,772.24 × 49,722.80
  4. Step 4: Simplify right side
    91,933.88x = 6,850,421,535.07
  5. Step 5: Solve for x
    x = 6,850,421,535.07/91,933.88
  6. Step 6: Final answer
    x = 74,514.66

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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.