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Finding the Fourth Proportional to 83,922.68, 115,809.68 and 45,682.28

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Solution

The fourth proportional to 83,922.68, 115,809.68 and 45,682.28 is: 63,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,922.68 : 115,809.68 = 45,682.28 : x
  2. Step 2: Convert to fraction form
    83,922.68/115,809.68 = 45,682.28/x
  3. Step 3: Cross multiply
    83,922.68x = 115,809.68 × 45,682.28
  4. Step 4: Simplify right side
    83,922.68x = 5,290,450,197.91
  5. Step 5: Solve for x
    x = 5,290,450,197.91/83,922.68
  6. Step 6: Final answer
    x = 63,039.57

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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.