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Finding the Fourth Proportional to 50,253, 69,352.38 and 27,897

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Solution

The fourth proportional to 50,253, 69,352.38 and 27,897 is: 38,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,253 : 69,352.38 = 27,897 : x
  2. Step 2: Convert to fraction form
    50,253/69,352.38 = 27,897/x
  3. Step 3: Cross multiply
    50,253x = 69,352.38 × 27,897
  4. Step 4: Simplify right side
    50,253x = 1,934,723,344.86
  5. Step 5: Solve for x
    x = 1,934,723,344.86/50,253
  6. Step 6: Final answer
    x = 38,499.66

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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.