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Finding the Fourth Proportional to 77,309.73, 115,767.71 and 50,934.51

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Solution

The fourth proportional to 77,309.73, 115,767.71 and 50,934.51 is: 76,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.73 : 115,767.71 = 50,934.51 : x
  2. Step 2: Convert to fraction form
    77,309.73/115,767.71 = 50,934.51/x
  3. Step 3: Cross multiply
    77,309.73x = 115,767.71 × 50,934.51
  4. Step 4: Simplify right side
    77,309.73x = 5,896,571,582.67
  5. Step 5: Solve for x
    x = 5,896,571,582.67/77,309.73
  6. Step 6: Final answer
    x = 76,272.05

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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.