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Finding the Fourth Proportional to 56,838.40, 78,434.56 and 31,687.68

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Solution

The fourth proportional to 56,838.40, 78,434.56 and 31,687.68 is: 43,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,838.40 : 78,434.56 = 31,687.68 : x
  2. Step 2: Convert to fraction form
    56,838.40/78,434.56 = 31,687.68/x
  3. Step 3: Cross multiply
    56,838.40x = 78,434.56 × 31,687.68
  4. Step 4: Simplify right side
    56,838.40x = 2,485,409,238.22
  5. Step 5: Solve for x
    x = 2,485,409,238.22/56,838.40
  6. Step 6: Final answer
    x = 43,727.64

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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.