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Finding the Fourth Proportional to 78,788.25, 108,725.94 and 42,978.54

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Solution

The fourth proportional to 78,788.25, 108,725.94 and 42,978.54 is: 59,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,788.25 : 108,725.94 = 42,978.54 : x
  2. Step 2: Convert to fraction form
    78,788.25/108,725.94 = 42,978.54/x
  3. Step 3: Cross multiply
    78,788.25x = 108,725.94 × 42,978.54
  4. Step 4: Simplify right side
    78,788.25x = 4,672,882,161.33
  5. Step 5: Solve for x
    x = 4,672,882,161.33/78,788.25
  6. Step 6: Final answer
    x = 59,309.38

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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.