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Finding the Fourth Proportional to 61,257.44, 84,538.48 and 34,398.56

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Solution

The fourth proportional to 61,257.44, 84,538.48 and 34,398.56 is: 47,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,257.44 : 84,538.48 = 34,398.56 : x
  2. Step 2: Convert to fraction form
    61,257.44/84,538.48 = 34,398.56/x
  3. Step 3: Cross multiply
    61,257.44x = 84,538.48 × 34,398.56
  4. Step 4: Simplify right side
    61,257.44x = 2,908,001,976.59
  5. Step 5: Solve for x
    x = 2,908,001,976.59/61,257.44
  6. Step 6: Final answer
    x = 47,471.82

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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.