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Finding the Fourth Proportional to 30,267.14, 41,770 and 25,222.92

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Solution

The fourth proportional to 30,267.14, 41,770 and 25,222.92 is: 34,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.14 : 41,770 = 25,222.92 : x
  2. Step 2: Convert to fraction form
    30,267.14/41,770 = 25,222.92/x
  3. Step 3: Cross multiply
    30,267.14x = 41,770 × 25,222.92
  4. Step 4: Simplify right side
    30,267.14x = 1,053,561,159.55
  5. Step 5: Solve for x
    x = 1,053,561,159.55/30,267.14
  6. Step 6: Final answer
    x = 34,808.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.