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Finding the Fourth Proportional to 77,182.74, 106,480.83 and 50,315.82

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Solution

The fourth proportional to 77,182.74, 106,480.83 and 50,315.82 is: 69,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,182.74 : 106,480.83 = 50,315.82 : x
  2. Step 2: Convert to fraction form
    77,182.74/106,480.83 = 50,315.82/x
  3. Step 3: Cross multiply
    77,182.74x = 106,480.83 × 50,315.82
  4. Step 4: Simplify right side
    77,182.74x = 5,357,670,275.73
  5. Step 5: Solve for x
    x = 5,357,670,275.73/77,182.74
  6. Step 6: Final answer
    x = 69,415.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.