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Finding the Fourth Proportional to 55,926.26, 77,178.10 and 30,775.76

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Solution

The fourth proportional to 55,926.26, 77,178.10 and 30,775.76 is: 42,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,926.26 : 77,178.10 = 30,775.76 : x
  2. Step 2: Convert to fraction form
    55,926.26/77,178.10 = 30,775.76/x
  3. Step 3: Cross multiply
    55,926.26x = 77,178.10 × 30,775.76
  4. Step 4: Simplify right side
    55,926.26x = 2,375,214,682.86
  5. Step 5: Solve for x
    x = 2,375,214,682.86/55,926.26
  6. Step 6: Final answer
    x = 42,470.47

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