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Finding the Fourth Proportional to 57,115.80, 85,673.70 and 23,824.80

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Solution

The fourth proportional to 57,115.80, 85,673.70 and 23,824.80 is: 35,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115.80 : 85,673.70 = 23,824.80 : x
  2. Step 2: Convert to fraction form
    57,115.80/85,673.70 = 23,824.80/x
  3. Step 3: Cross multiply
    57,115.80x = 85,673.70 × 23,824.80
  4. Step 4: Simplify right side
    57,115.80x = 2,041,158,767.76
  5. Step 5: Solve for x
    x = 2,041,158,767.76/57,115.80
  6. Step 6: Final answer
    x = 35,737.20

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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.