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Finding the Fourth Proportional to 30,114, 41,557.32 and 18,338

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Solution

The fourth proportional to 30,114, 41,557.32 and 18,338 is: 25,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114 : 41,557.32 = 18,338 : x
  2. Step 2: Convert to fraction form
    30,114/41,557.32 = 18,338/x
  3. Step 3: Cross multiply
    30,114x = 41,557.32 × 18,338
  4. Step 4: Simplify right side
    30,114x = 762,078,134.16
  5. Step 5: Solve for x
    x = 762,078,134.16/30,114
  6. Step 6: Final answer
    x = 25,306.44

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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.