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Finding the Fourth Proportional to 94,546.40, 141,819.60 and 47,793.20

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Solution

The fourth proportional to 94,546.40, 141,819.60 and 47,793.20 is: 71,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,546.40 : 141,819.60 = 47,793.20 : x
  2. Step 2: Convert to fraction form
    94,546.40/141,819.60 = 47,793.20/x
  3. Step 3: Cross multiply
    94,546.40x = 141,819.60 × 47,793.20
  4. Step 4: Simplify right side
    94,546.40x = 6,778,012,506.72
  5. Step 5: Solve for x
    x = 6,778,012,506.72/94,546.40
  6. Step 6: Final answer
    x = 71,689.80

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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.