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Finding the Fourth Proportional to 61,003.96, 84,178.38 and 34,147.96

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Solution

The fourth proportional to 61,003.96, 84,178.38 and 34,147.96 is: 47,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,003.96 : 84,178.38 = 34,147.96 : x
  2. Step 2: Convert to fraction form
    61,003.96/84,178.38 = 34,147.96/x
  3. Step 3: Cross multiply
    61,003.96x = 84,178.38 × 34,147.96
  4. Step 4: Simplify right side
    61,003.96x = 2,874,519,953.10
  5. Step 5: Solve for x
    x = 2,874,519,953.10/61,003.96
  6. Step 6: Final answer
    x = 47,120.22

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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.