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Finding the Fourth Proportional to 78,341, 108,110.58 and 43,013

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Solution

The fourth proportional to 78,341, 108,110.58 and 43,013 is: 59,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341 : 108,110.58 = 43,013 : x
  2. Step 2: Convert to fraction form
    78,341/108,110.58 = 43,013/x
  3. Step 3: Cross multiply
    78,341x = 108,110.58 × 43,013
  4. Step 4: Simplify right side
    78,341x = 4,650,160,377.54
  5. Step 5: Solve for x
    x = 4,650,160,377.54/78,341
  6. Step 6: Final answer
    x = 59,357.94

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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.