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Finding the Fourth Proportional to 61,221.80, 84,494.61 and 34,004

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Solution

The fourth proportional to 61,221.80, 84,494.61 and 34,004 is: 46,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221.80 : 84,494.61 = 34,004 : x
  2. Step 2: Convert to fraction form
    61,221.80/84,494.61 = 34,004/x
  3. Step 3: Cross multiply
    61,221.80x = 84,494.61 × 34,004
  4. Step 4: Simplify right side
    61,221.80x = 2,873,154,718.44
  5. Step 5: Solve for x
    x = 2,873,154,718.44/61,221.80
  6. Step 6: Final answer
    x = 46,930.26

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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.