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Finding the Fourth Proportional to 77,344.24, 106,731.48 and 43,810.48

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Solution

The fourth proportional to 77,344.24, 106,731.48 and 43,810.48 is: 60,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344.24 : 106,731.48 = 43,810.48 : x
  2. Step 2: Convert to fraction form
    77,344.24/106,731.48 = 43,810.48/x
  3. Step 3: Cross multiply
    77,344.24x = 106,731.48 × 43,810.48
  4. Step 4: Simplify right side
    77,344.24x = 4,675,957,369.91
  5. Step 5: Solve for x
    x = 4,675,957,369.91/77,344.24
  6. Step 6: Final answer
    x = 60,456.44

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1.5x scale

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.