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Finding the Fourth Proportional to 47,404.80, 71,128.80 and 22,435.20

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Solution

The fourth proportional to 47,404.80, 71,128.80 and 22,435.20 is: 33,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404.80 : 71,128.80 = 22,435.20 : x
  2. Step 2: Convert to fraction form
    47,404.80/71,128.80 = 22,435.20/x
  3. Step 3: Cross multiply
    47,404.80x = 71,128.80 × 22,435.20
  4. Step 4: Simplify right side
    47,404.80x = 1,595,788,853.76
  5. Step 5: Solve for x
    x = 1,595,788,853.76/47,404.80
  6. Step 6: Final answer
    x = 33,663.02

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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.