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Finding the Fourth Proportional to 83,213.50, 124,820.25 and 27,809.50

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Solution

The fourth proportional to 83,213.50, 124,820.25 and 27,809.50 is: 41,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.50 : 124,820.25 = 27,809.50 : x
  2. Step 2: Convert to fraction form
    83,213.50/124,820.25 = 27,809.50/x
  3. Step 3: Cross multiply
    83,213.50x = 124,820.25 × 27,809.50
  4. Step 4: Simplify right side
    83,213.50x = 3,471,188,742.38
  5. Step 5: Solve for x
    x = 3,471,188,742.38/83,213.50
  6. Step 6: Final answer
    x = 41,714.25

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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.