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Finding the Fourth Proportional to 48,698.68, 73,004.16 and 17,512

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Solution

The fourth proportional to 48,698.68, 73,004.16 and 17,512 is: 26,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,698.68 : 73,004.16 = 17,512 : x
  2. Step 2: Convert to fraction form
    48,698.68/73,004.16 = 17,512/x
  3. Step 3: Cross multiply
    48,698.68x = 73,004.16 × 17,512
  4. Step 4: Simplify right side
    48,698.68x = 1,278,448,849.92
  5. Step 5: Solve for x
    x = 1,278,448,849.92/48,698.68
  6. Step 6: Final answer
    x = 26,252.23

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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.