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Finding the Fourth Proportional to 78,015.73, 116,929.98 and 44,758.75

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Solution

The fourth proportional to 78,015.73, 116,929.98 and 44,758.75 is: 67,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.73 : 116,929.98 = 44,758.75 : x
  2. Step 2: Convert to fraction form
    78,015.73/116,929.98 = 44,758.75/x
  3. Step 3: Cross multiply
    78,015.73x = 116,929.98 × 44,758.75
  4. Step 4: Simplify right side
    78,015.73x = 5,233,639,742.33
  5. Step 5: Solve for x
    x = 5,233,639,742.33/78,015.73
  6. Step 6: Final answer
    x = 67,084.42

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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.