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Finding the Fourth Proportional to 83,226.38, 114,860.31 and 45,506.30

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Solution

The fourth proportional to 83,226.38, 114,860.31 and 45,506.30 is: 62,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.38 : 114,860.31 = 45,506.30 : x
  2. Step 2: Convert to fraction form
    83,226.38/114,860.31 = 45,506.30/x
  3. Step 3: Cross multiply
    83,226.38x = 114,860.31 × 45,506.30
  4. Step 4: Simplify right side
    83,226.38x = 5,226,867,724.95
  5. Step 5: Solve for x
    x = 5,226,867,724.95/83,226.38
  6. Step 6: Final answer
    x = 62,803.02

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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.