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Finding the Fourth Proportional to 84,432.44, 126,648.62 and 31,829.62

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Solution

The fourth proportional to 84,432.44, 126,648.62 and 31,829.62 is: 47,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,432.44 : 126,648.62 = 31,829.62 : x
  2. Step 2: Convert to fraction form
    84,432.44/126,648.62 = 31,829.62/x
  3. Step 3: Cross multiply
    84,432.44x = 126,648.62 × 31,829.62
  4. Step 4: Simplify right side
    84,432.44x = 4,031,177,448.12
  5. Step 5: Solve for x
    x = 4,031,177,448.12/84,432.44
  6. Step 6: Final answer
    x = 47,744.41

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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.