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Finding the Fourth Proportional to 77,003.90, 106,265.13 and 44,743.22

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Solution

The fourth proportional to 77,003.90, 106,265.13 and 44,743.22 is: 61,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,003.90 : 106,265.13 = 44,743.22 : x
  2. Step 2: Convert to fraction form
    77,003.90/106,265.13 = 44,743.22/x
  3. Step 3: Cross multiply
    77,003.90x = 106,265.13 × 44,743.22
  4. Step 4: Simplify right side
    77,003.90x = 4,754,644,187.79
  5. Step 5: Solve for x
    x = 4,754,644,187.79/77,003.90
  6. Step 6: Final answer
    x = 61,745.50

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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.