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Finding the Fourth Proportional to 71,033.82, 98,023.80 and 39,202.30

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Solution

The fourth proportional to 71,033.82, 98,023.80 and 39,202.30 is: 54,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,033.82 : 98,023.80 = 39,202.30 : x
  2. Step 2: Convert to fraction form
    71,033.82/98,023.80 = 39,202.30/x
  3. Step 3: Cross multiply
    71,033.82x = 98,023.80 × 39,202.30
  4. Step 4: Simplify right side
    71,033.82x = 3,842,758,414.74
  5. Step 5: Solve for x
    x = 3,842,758,414.74/71,033.82
  6. Step 6: Final answer
    x = 54,097.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.