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Finding the Fourth Proportional to 21,630.51, 32,451.17 and 6,048

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Solution

The fourth proportional to 21,630.51, 32,451.17 and 6,048 is: 9,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,630.51 : 32,451.17 = 6,048 : x
  2. Step 2: Convert to fraction form
    21,630.51/32,451.17 = 6,048/x
  3. Step 3: Cross multiply
    21,630.51x = 32,451.17 × 6,048
  4. Step 4: Simplify right side
    21,630.51x = 196,264,645.92
  5. Step 5: Solve for x
    x = 196,264,645.92/21,630.51
  6. Step 6: Final answer
    x = 9,073.51

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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.