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Finding the Fourth Proportional to 77,583.45, 107,065.25 and 44,049.45

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Solution

The fourth proportional to 77,583.45, 107,065.25 and 44,049.45 is: 60,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,583.45 : 107,065.25 = 44,049.45 : x
  2. Step 2: Convert to fraction form
    77,583.45/107,065.25 = 44,049.45/x
  3. Step 3: Cross multiply
    77,583.45x = 107,065.25 × 44,049.45
  4. Step 4: Simplify right side
    77,583.45x = 4,716,165,376.61
  5. Step 5: Solve for x
    x = 4,716,165,376.61/77,583.45
  6. Step 6: Final answer
    x = 60,788.29

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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.