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Finding the Fourth Proportional to 61,055.82, 84,258.63 and 34,198.20

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Solution

The fourth proportional to 61,055.82, 84,258.63 and 34,198.20 is: 47,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,055.82 : 84,258.63 = 34,198.20 : x
  2. Step 2: Convert to fraction form
    61,055.82/84,258.63 = 34,198.20/x
  3. Step 3: Cross multiply
    61,055.82x = 84,258.63 × 34,198.20
  4. Step 4: Simplify right side
    61,055.82x = 2,881,493,480.47
  5. Step 5: Solve for x
    x = 2,881,493,480.47/61,055.82
  6. Step 6: Final answer
    x = 47,194.41

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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.