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Finding the Fourth Proportional to 24,310.49, 36,465.73 and 5,842.49

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Solution

The fourth proportional to 24,310.49, 36,465.73 and 5,842.49 is: 8,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.49 : 36,465.73 = 5,842.49 : x
  2. Step 2: Convert to fraction form
    24,310.49/36,465.73 = 5,842.49/x
  3. Step 3: Cross multiply
    24,310.49x = 36,465.73 × 5,842.49
  4. Step 4: Simplify right side
    24,310.49x = 213,050,662.87
  5. Step 5: Solve for x
    x = 213,050,662.87/24,310.49
  6. Step 6: Final answer
    x = 8,763.73

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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.