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Finding the Fourth Proportional to 61,471.91, 84,832.66 and 34,249.80

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Solution

The fourth proportional to 61,471.91, 84,832.66 and 34,249.80 is: 47,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471.91 : 84,832.66 = 34,249.80 : x
  2. Step 2: Convert to fraction form
    61,471.91/84,832.66 = 34,249.80/x
  3. Step 3: Cross multiply
    61,471.91x = 84,832.66 × 34,249.80
  4. Step 4: Simplify right side
    61,471.91x = 2,905,501,509.06
  5. Step 5: Solve for x
    x = 2,905,501,509.06/61,471.91
  6. Step 6: Final answer
    x = 47,265.52

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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.