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Finding the Fourth Proportional to 83,201.65, 124,820.70 and 27,032.20

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Solution

The fourth proportional to 83,201.65, 124,820.70 and 27,032.20 is: 40,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.65 : 124,820.70 = 27,032.20 : x
  2. Step 2: Convert to fraction form
    83,201.65/124,820.70 = 27,032.20/x
  3. Step 3: Cross multiply
    83,201.65x = 124,820.70 × 27,032.20
  4. Step 4: Simplify right side
    83,201.65x = 3,374,178,126.54
  5. Step 5: Solve for x
    x = 3,374,178,126.54/83,201.65
  6. Step 6: Final answer
    x = 40,554.22

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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.