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Finding the Fourth Proportional to 78,078, 117,120.24 and 22,674

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Solution

The fourth proportional to 78,078, 117,120.24 and 22,674 is: 34,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078 : 117,120.24 = 22,674 : x
  2. Step 2: Convert to fraction form
    78,078/117,120.24 = 22,674/x
  3. Step 3: Cross multiply
    78,078x = 117,120.24 × 22,674
  4. Step 4: Simplify right side
    78,078x = 2,655,584,321.76
  5. Step 5: Solve for x
    x = 2,655,584,321.76/78,078
  6. Step 6: Final answer
    x = 34,011.94

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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.