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Finding the Fourth Proportional to 83,207.68, 114,824.90 and 45,482.20

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Solution

The fourth proportional to 83,207.68, 114,824.90 and 45,482.20 is: 62,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.68 : 114,824.90 = 45,482.20 : x
  2. Step 2: Convert to fraction form
    83,207.68/114,824.90 = 45,482.20/x
  3. Step 3: Cross multiply
    83,207.68x = 114,824.90 × 45,482.20
  4. Step 4: Simplify right side
    83,207.68x = 5,222,489,066.78
  5. Step 5: Solve for x
    x = 5,222,489,066.78/83,207.68
  6. Step 6: Final answer
    x = 62,764.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.