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Finding the Fourth Proportional to 59,518.44, 82,138.02 and 35,649

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Solution

The fourth proportional to 59,518.44, 82,138.02 and 35,649 is: 49,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,518.44 : 82,138.02 = 35,649 : x
  2. Step 2: Convert to fraction form
    59,518.44/82,138.02 = 35,649/x
  3. Step 3: Cross multiply
    59,518.44x = 82,138.02 × 35,649
  4. Step 4: Simplify right side
    59,518.44x = 2,928,138,274.98
  5. Step 5: Solve for x
    x = 2,928,138,274.98/59,518.44
  6. Step 6: Final answer
    x = 49,197.16

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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.