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Finding the Fourth Proportional to 61,692.27, 85,133.76 and 34,468.56

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Solution

The fourth proportional to 61,692.27, 85,133.76 and 34,468.56 is: 47,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,692.27 : 85,133.76 = 34,468.56 : x
  2. Step 2: Convert to fraction form
    61,692.27/85,133.76 = 34,468.56/x
  3. Step 3: Cross multiply
    61,692.27x = 85,133.76 × 34,468.56
  4. Step 4: Simplify right side
    61,692.27x = 2,934,438,114.59
  5. Step 5: Solve for x
    x = 2,934,438,114.59/61,692.27
  6. Step 6: Final answer
    x = 47,565.73

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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.