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Finding the Fourth Proportional to 55,542, 76,649.58 and 30,393.12

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Solution

The fourth proportional to 55,542, 76,649.58 and 30,393.12 is: 41,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,542 : 76,649.58 = 30,393.12 : x
  2. Step 2: Convert to fraction form
    55,542/76,649.58 = 30,393.12/x
  3. Step 3: Cross multiply
    55,542x = 76,649.58 × 30,393.12
  4. Step 4: Simplify right side
    55,542x = 2,329,619,882.89
  5. Step 5: Solve for x
    x = 2,329,619,882.89/55,542
  6. Step 6: Final answer
    x = 41,943.39

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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.