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Finding the Fourth Proportional to 77,583.20, 107,064.90 and 44,049.20

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Solution

The fourth proportional to 77,583.20, 107,064.90 and 44,049.20 is: 60,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,583.20 : 107,064.90 = 44,049.20 : x
  2. Step 2: Convert to fraction form
    77,583.20/107,064.90 = 44,049.20/x
  3. Step 3: Cross multiply
    77,583.20x = 107,064.90 × 44,049.20
  4. Step 4: Simplify right side
    77,583.20x = 4,716,122,657.76
  5. Step 5: Solve for x
    x = 4,716,122,657.76/77,583.20
  6. Step 6: Final answer
    x = 60,787.94

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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.