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Finding the Fourth Proportional to 78,634.71, 108,512.52 and 42,824.81

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Solution

The fourth proportional to 78,634.71, 108,512.52 and 42,824.81 is: 59,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,634.71 : 108,512.52 = 42,824.81 : x
  2. Step 2: Convert to fraction form
    78,634.71/108,512.52 = 42,824.81/x
  3. Step 3: Cross multiply
    78,634.71x = 108,512.52 × 42,824.81
  4. Step 4: Simplify right side
    78,634.71x = 4,647,027,509.06
  5. Step 5: Solve for x
    x = 4,647,027,509.06/78,634.71
  6. Step 6: Final answer
    x = 59,096.39

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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.