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Finding the Fourth Proportional to 78,033.52, 107,687.64 and 44,048.80

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Solution

The fourth proportional to 78,033.52, 107,687.64 and 44,048.80 is: 60,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.52 : 107,687.64 = 44,048.80 : x
  2. Step 2: Convert to fraction form
    78,033.52/107,687.64 = 44,048.80/x
  3. Step 3: Cross multiply
    78,033.52x = 107,687.64 × 44,048.80
  4. Step 4: Simplify right side
    78,033.52x = 4,743,511,316.83
  5. Step 5: Solve for x
    x = 4,743,511,316.83/78,033.52
  6. Step 6: Final answer
    x = 60,788.12

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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.