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Finding the Fourth Proportional to 30,677.16, 42,324.30 and 25,002.16

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Solution

The fourth proportional to 30,677.16, 42,324.30 and 25,002.16 is: 34,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.16 : 42,324.30 = 25,002.16 : x
  2. Step 2: Convert to fraction form
    30,677.16/42,324.30 = 25,002.16/x
  3. Step 3: Cross multiply
    30,677.16x = 42,324.30 × 25,002.16
  4. Step 4: Simplify right side
    30,677.16x = 1,058,198,843.06
  5. Step 5: Solve for x
    x = 1,058,198,843.06/30,677.16
  6. Step 6: Final answer
    x = 34,494.68

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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.