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Finding the Fourth Proportional to 61,149.60, 84,388.32 and 34,291.44

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Solution

The fourth proportional to 61,149.60, 84,388.32 and 34,291.44 is: 47,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,149.60 : 84,388.32 = 34,291.44 : x
  2. Step 2: Convert to fraction form
    61,149.60/84,388.32 = 34,291.44/x
  3. Step 3: Cross multiply
    61,149.60x = 84,388.32 × 34,291.44
  4. Step 4: Simplify right side
    61,149.60x = 2,893,797,011.98
  5. Step 5: Solve for x
    x = 2,893,797,011.98/61,149.60
  6. Step 6: Final answer
    x = 47,323.24

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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.