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Finding the Fourth Proportional to 83,574.97, 125,380.90 and 30,984.46

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Solution

The fourth proportional to 83,574.97, 125,380.90 and 30,984.46 is: 46,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574.97 : 125,380.90 = 30,984.46 : x
  2. Step 2: Convert to fraction form
    83,574.97/125,380.90 = 30,984.46/x
  3. Step 3: Cross multiply
    83,574.97x = 125,380.90 × 30,984.46
  4. Step 4: Simplify right side
    83,574.97x = 3,884,859,031.80
  5. Step 5: Solve for x
    x = 3,884,859,031.80/83,574.97
  6. Step 6: Final answer
    x = 46,483.52

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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.