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Finding the Fourth Proportional to 78,494.44, 108,353.70 and 48,292.12

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Solution

The fourth proportional to 78,494.44, 108,353.70 and 48,292.12 is: 66,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.44 : 108,353.70 = 48,292.12 : x
  2. Step 2: Convert to fraction form
    78,494.44/108,353.70 = 48,292.12/x
  3. Step 3: Cross multiply
    78,494.44x = 108,353.70 × 48,292.12
  4. Step 4: Simplify right side
    78,494.44x = 5,232,629,882.84
  5. Step 5: Solve for x
    x = 5,232,629,882.84/78,494.44
  6. Step 6: Final answer
    x = 66,662.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.