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Finding the Fourth Proportional to 57,544, 85,912.34 and 48,689.04

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Solution

The fourth proportional to 57,544, 85,912.34 and 48,689.04 is: 72,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,544 : 85,912.34 = 48,689.04 : x
  2. Step 2: Convert to fraction form
    57,544/85,912.34 = 48,689.04/x
  3. Step 3: Cross multiply
    57,544x = 85,912.34 × 48,689.04
  4. Step 4: Simplify right side
    57,544x = 4,182,989,358.75
  5. Step 5: Solve for x
    x = 4,182,989,358.75/57,544
  6. Step 6: Final answer
    x = 72,692.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.