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Finding the Fourth Proportional to 30,398.42, 41,952.94 and 17,827.22

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Solution

The fourth proportional to 30,398.42, 41,952.94 and 17,827.22 is: 24,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.42 : 41,952.94 = 17,827.22 : x
  2. Step 2: Convert to fraction form
    30,398.42/41,952.94 = 17,827.22/x
  3. Step 3: Cross multiply
    30,398.42x = 41,952.94 × 17,827.22
  4. Step 4: Simplify right side
    30,398.42x = 747,904,291.03
  5. Step 5: Solve for x
    x = 747,904,291.03/30,398.42
  6. Step 6: Final answer
    x = 24,603.39

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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.