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Finding the Fourth Proportional to 61,123.34, 84,349.38 and 34,265.78

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Solution

The fourth proportional to 61,123.34, 84,349.38 and 34,265.78 is: 47,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,123.34 : 84,349.38 = 34,265.78 : x
  2. Step 2: Convert to fraction form
    61,123.34/84,349.38 = 34,265.78/x
  3. Step 3: Cross multiply
    61,123.34x = 84,349.38 × 34,265.78
  4. Step 4: Simplify right side
    61,123.34x = 2,890,297,298.22
  5. Step 5: Solve for x
    x = 2,890,297,298.22/61,123.34
  6. Step 6: Final answer
    x = 47,286.31

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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.