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Finding the Fourth Proportional to 78,270.63, 108,013.46 and 44,743.11

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Solution

The fourth proportional to 78,270.63, 108,013.46 and 44,743.11 is: 61,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270.63 : 108,013.46 = 44,743.11 : x
  2. Step 2: Convert to fraction form
    78,270.63/108,013.46 = 44,743.11/x
  3. Step 3: Cross multiply
    78,270.63x = 108,013.46 × 44,743.11
  4. Step 4: Simplify right side
    78,270.63x = 4,832,858,122.26
  5. Step 5: Solve for x
    x = 4,832,858,122.26/78,270.63
  6. Step 6: Final answer
    x = 61,745.49

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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.