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Finding the Fourth Proportional to 80,478.40, 120,717.60 and 47,214.40

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Solution

The fourth proportional to 80,478.40, 120,717.60 and 47,214.40 is: 70,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478.40 : 120,717.60 = 47,214.40 : x
  2. Step 2: Convert to fraction form
    80,478.40/120,717.60 = 47,214.40/x
  3. Step 3: Cross multiply
    80,478.40x = 120,717.60 × 47,214.40
  4. Step 4: Simplify right side
    80,478.40x = 5,699,609,053.44
  5. Step 5: Solve for x
    x = 5,699,609,053.44/80,478.40
  6. Step 6: Final answer
    x = 70,821.60

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1.5x scale

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.