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Finding the Fourth Proportional to 30,669, 42,323.22 and 17,240.10

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Solution

The fourth proportional to 30,669, 42,323.22 and 17,240.10 is: 23,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669 : 42,323.22 = 17,240.10 : x
  2. Step 2: Convert to fraction form
    30,669/42,323.22 = 17,240.10/x
  3. Step 3: Cross multiply
    30,669x = 42,323.22 × 17,240.10
  4. Step 4: Simplify right side
    30,669x = 729,656,545.12
  5. Step 5: Solve for x
    x = 729,656,545.12/30,669
  6. Step 6: Final answer
    x = 23,791.34

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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.