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Finding the Fourth Proportional to 61,426.26, 84,761.37 and 34,578

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Solution

The fourth proportional to 61,426.26, 84,761.37 and 34,578 is: 47,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,426.26 : 84,761.37 = 34,578 : x
  2. Step 2: Convert to fraction form
    61,426.26/84,761.37 = 34,578/x
  3. Step 3: Cross multiply
    61,426.26x = 84,761.37 × 34,578
  4. Step 4: Simplify right side
    61,426.26x = 2,930,878,651.86
  5. Step 5: Solve for x
    x = 2,930,878,651.86/61,426.26
  6. Step 6: Final answer
    x = 47,713.77

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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.