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Finding the Fourth Proportional to 83,213.64, 124,820.52 and 27,809.64

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Solution

The fourth proportional to 83,213.64, 124,820.52 and 27,809.64 is: 41,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.64 : 124,820.52 = 27,809.64 : x
  2. Step 2: Convert to fraction form
    83,213.64/124,820.52 = 27,809.64/x
  3. Step 3: Cross multiply
    83,213.64x = 124,820.52 × 27,809.64
  4. Step 4: Simplify right side
    83,213.64x = 3,471,213,725.81
  5. Step 5: Solve for x
    x = 3,471,213,725.81/83,213.64
  6. Step 6: Final answer
    x = 41,714.48

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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.