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Finding the Fourth Proportional to 48,816, 67,315.76 and 41,765.76

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Solution

The fourth proportional to 48,816, 67,315.76 and 41,765.76 is: 57,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,816 : 67,315.76 = 41,765.76 : x
  2. Step 2: Convert to fraction form
    48,816/67,315.76 = 41,765.76/x
  3. Step 3: Cross multiply
    48,816x = 67,315.76 × 41,765.76
  4. Step 4: Simplify right side
    48,816x = 2,811,493,876.38
  5. Step 5: Solve for x
    x = 2,811,493,876.38/48,816
  6. Step 6: Final answer
    x = 57,593.70

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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.