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Finding the Fourth Proportional to 24,074.75, 36,109.81 and 7,430.30

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Solution

The fourth proportional to 24,074.75, 36,109.81 and 7,430.30 is: 11,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.75 : 36,109.81 = 7,430.30 : x
  2. Step 2: Convert to fraction form
    24,074.75/36,109.81 = 7,430.30/x
  3. Step 3: Cross multiply
    24,074.75x = 36,109.81 × 7,430.30
  4. Step 4: Simplify right side
    24,074.75x = 268,306,503.54
  5. Step 5: Solve for x
    x = 268,306,503.54/24,074.75
  6. Step 6: Final answer
    x = 11,144.73

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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.