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Finding the Fourth Proportional to 78,014.73, 116,928.48 and 44,757.75

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Solution

The fourth proportional to 78,014.73, 116,928.48 and 44,757.75 is: 67,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.73 : 116,928.48 = 44,757.75 : x
  2. Step 2: Convert to fraction form
    78,014.73/116,928.48 = 44,757.75/x
  3. Step 3: Cross multiply
    78,014.73x = 116,928.48 × 44,757.75
  4. Step 4: Simplify right side
    78,014.73x = 5,233,455,675.72
  5. Step 5: Solve for x
    x = 5,233,455,675.72/78,014.73
  6. Step 6: Final answer
    x = 67,082.92

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Why These Related Problems?

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