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Finding the Fourth Proportional to 78,404.54, 108,194.78 and 44,412.34

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Solution

The fourth proportional to 78,404.54, 108,194.78 and 44,412.34 is: 61,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,404.54 : 108,194.78 = 44,412.34 : x
  2. Step 2: Convert to fraction form
    78,404.54/108,194.78 = 44,412.34/x
  3. Step 3: Cross multiply
    78,404.54x = 108,194.78 × 44,412.34
  4. Step 4: Simplify right side
    78,404.54x = 4,805,183,557.95
  5. Step 5: Solve for x
    x = 4,805,183,557.95/78,404.54
  6. Step 6: Final answer
    x = 61,287.06

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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.