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Finding the Fourth Proportional to 47,542.80, 71,281.80 and 22,594.80

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Solution

The fourth proportional to 47,542.80, 71,281.80 and 22,594.80 is: 33,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,542.80 : 71,281.80 = 22,594.80 : x
  2. Step 2: Convert to fraction form
    47,542.80/71,281.80 = 22,594.80/x
  3. Step 3: Cross multiply
    47,542.80x = 71,281.80 × 22,594.80
  4. Step 4: Simplify right side
    47,542.80x = 1,610,598,014.64
  5. Step 5: Solve for x
    x = 1,610,598,014.64/47,542.80
  6. Step 6: Final answer
    x = 33,876.80

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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.