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Finding the Fourth Proportional to 34,198.92, 51,259.50 and 14,465.16

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Solution

The fourth proportional to 34,198.92, 51,259.50 and 14,465.16 is: 21,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198.92 : 51,259.50 = 14,465.16 : x
  2. Step 2: Convert to fraction form
    34,198.92/51,259.50 = 14,465.16/x
  3. Step 3: Cross multiply
    34,198.92x = 51,259.50 × 14,465.16
  4. Step 4: Simplify right side
    34,198.92x = 741,476,869.02
  5. Step 5: Solve for x
    x = 741,476,869.02/34,198.92
  6. Step 6: Final answer
    x = 21,681.29

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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.