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Finding the Fourth Proportional to 77,809.11, 107,382.02 and 44,275.11

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Solution

The fourth proportional to 77,809.11, 107,382.02 and 44,275.11 is: 61,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,809.11 : 107,382.02 = 44,275.11 : x
  2. Step 2: Convert to fraction form
    77,809.11/107,382.02 = 44,275.11/x
  3. Step 3: Cross multiply
    77,809.11x = 107,382.02 × 44,275.11
  4. Step 4: Simplify right side
    77,809.11x = 4,754,350,526.15
  5. Step 5: Solve for x
    x = 4,754,350,526.15/77,809.11
  6. Step 6: Final answer
    x = 61,102.75

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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.