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Finding the Fourth Proportional to 78,524.71, 117,785.24 and 25,216.58

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Solution

The fourth proportional to 78,524.71, 117,785.24 and 25,216.58 is: 37,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,524.71 : 117,785.24 = 25,216.58 : x
  2. Step 2: Convert to fraction form
    78,524.71/117,785.24 = 25,216.58/x
  3. Step 3: Cross multiply
    78,524.71x = 117,785.24 × 25,216.58
  4. Step 4: Simplify right side
    78,524.71x = 2,970,141,190.22
  5. Step 5: Solve for x
    x = 2,970,141,190.22/78,524.71
  6. Step 6: Final answer
    x = 37,824.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.