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Finding the Fourth Proportional to 71,478.80, 107,218.20 and 32,112.80

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Solution

The fourth proportional to 71,478.80, 107,218.20 and 32,112.80 is: 48,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478.80 : 107,218.20 = 32,112.80 : x
  2. Step 2: Convert to fraction form
    71,478.80/107,218.20 = 32,112.80/x
  3. Step 3: Cross multiply
    71,478.80x = 107,218.20 × 32,112.80
  4. Step 4: Simplify right side
    71,478.80x = 3,443,076,612.96
  5. Step 5: Solve for x
    x = 3,443,076,612.96/71,478.80
  6. Step 6: Final answer
    x = 48,169.20

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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.