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Finding the Fourth Proportional to 34,058.13, 51,087.20 and 9,434.13

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Solution

The fourth proportional to 34,058.13, 51,087.20 and 9,434.13 is: 14,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058.13 : 51,087.20 = 9,434.13 : x
  2. Step 2: Convert to fraction form
    34,058.13/51,087.20 = 9,434.13/x
  3. Step 3: Cross multiply
    34,058.13x = 51,087.20 × 9,434.13
  4. Step 4: Simplify right side
    34,058.13x = 481,963,286.14
  5. Step 5: Solve for x
    x = 481,963,286.14/34,058.13
  6. Step 6: Final answer
    x = 14,151.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.