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Finding the Fourth Proportional to 78,182.70, 117,323.22 and 44,967.60

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Solution

The fourth proportional to 78,182.70, 117,323.22 and 44,967.60 is: 67,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182.70 : 117,323.22 = 44,967.60 : x
  2. Step 2: Convert to fraction form
    78,182.70/117,323.22 = 44,967.60/x
  3. Step 3: Cross multiply
    78,182.70x = 117,323.22 × 44,967.60
  4. Step 4: Simplify right side
    78,182.70x = 5,275,743,627.67
  5. Step 5: Solve for x
    x = 5,275,743,627.67/78,182.70
  6. Step 6: Final answer
    x = 67,479.68

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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.