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Finding the Fourth Proportional to 48,833.04, 73,249.56 and 17,661

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Solution

The fourth proportional to 48,833.04, 73,249.56 and 17,661 is: 26,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,833.04 : 73,249.56 = 17,661 : x
  2. Step 2: Convert to fraction form
    48,833.04/73,249.56 = 17,661/x
  3. Step 3: Cross multiply
    48,833.04x = 73,249.56 × 17,661
  4. Step 4: Simplify right side
    48,833.04x = 1,293,660,479.16
  5. Step 5: Solve for x
    x = 1,293,660,479.16/48,833.04
  6. Step 6: Final answer
    x = 26,491.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.