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Finding the Fourth Proportional to 56,407.56, 77,842.50 and 31,257

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Solution

The fourth proportional to 56,407.56, 77,842.50 and 31,257 is: 43,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,407.56 : 77,842.50 = 31,257 : x
  2. Step 2: Convert to fraction form
    56,407.56/77,842.50 = 31,257/x
  3. Step 3: Cross multiply
    56,407.56x = 77,842.50 × 31,257
  4. Step 4: Simplify right side
    56,407.56x = 2,433,123,022.50
  5. Step 5: Solve for x
    x = 2,433,123,022.50/56,407.56
  6. Step 6: Final answer
    x = 43,134.70

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