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Finding the Fourth Proportional to 71,561.92, 107,360.16 and 24,813.76

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Solution

The fourth proportional to 71,561.92, 107,360.16 and 24,813.76 is: 37,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,561.92 : 107,360.16 = 24,813.76 : x
  2. Step 2: Convert to fraction form
    71,561.92/107,360.16 = 24,813.76/x
  3. Step 3: Cross multiply
    71,561.92x = 107,360.16 × 24,813.76
  4. Step 4: Simplify right side
    71,561.92x = 2,664,009,243.80
  5. Step 5: Solve for x
    x = 2,664,009,243.80/71,561.92
  6. Step 6: Final answer
    x = 37,226.63

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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.