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Finding the Fourth Proportional to 34,338.97, 51,530.13 and 14,617.50

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Solution

The fourth proportional to 34,338.97, 51,530.13 and 14,617.50 is: 21,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338.97 : 51,530.13 = 14,617.50 : x
  2. Step 2: Convert to fraction form
    34,338.97/51,530.13 = 14,617.50/x
  3. Step 3: Cross multiply
    34,338.97x = 51,530.13 × 14,617.50
  4. Step 4: Simplify right side
    34,338.97x = 753,241,675.28
  5. Step 5: Solve for x
    x = 753,241,675.28/34,338.97
  6. Step 6: Final answer
    x = 21,935.48

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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.