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Finding the Fourth Proportional to 83,283.70, 124,933.07 and 27,109.24

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Solution

The fourth proportional to 83,283.70, 124,933.07 and 27,109.24 is: 40,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.70 : 124,933.07 = 27,109.24 : x
  2. Step 2: Convert to fraction form
    83,283.70/124,933.07 = 27,109.24/x
  3. Step 3: Cross multiply
    83,283.70x = 124,933.07 × 27,109.24
  4. Step 4: Simplify right side
    83,283.70x = 3,386,840,578.57
  5. Step 5: Solve for x
    x = 3,386,840,578.57/83,283.70
  6. Step 6: Final answer
    x = 40,666.31

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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.