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Finding the Fourth Proportional to 57,209.88, 78,931.08 and 37,082.46

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Solution

The fourth proportional to 57,209.88, 78,931.08 and 37,082.46 is: 51,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.88 : 78,931.08 = 37,082.46 : x
  2. Step 2: Convert to fraction form
    57,209.88/78,931.08 = 37,082.46/x
  3. Step 3: Cross multiply
    57,209.88x = 78,931.08 × 37,082.46
  4. Step 4: Simplify right side
    57,209.88x = 2,926,958,616.86
  5. Step 5: Solve for x
    x = 2,926,958,616.86/57,209.88
  6. Step 6: Final answer
    x = 51,161.77

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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.