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Finding the Fourth Proportional to 34,513.38, 51,760.06 and 13,448.72

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Solution

The fourth proportional to 34,513.38, 51,760.06 and 13,448.72 is: 20,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.38 : 51,760.06 = 13,448.72 : x
  2. Step 2: Convert to fraction form
    34,513.38/51,760.06 = 13,448.72/x
  3. Step 3: Cross multiply
    34,513.38x = 51,760.06 × 13,448.72
  4. Step 4: Simplify right side
    34,513.38x = 696,106,554.12
  5. Step 5: Solve for x
    x = 696,106,554.12/34,513.38
  6. Step 6: Final answer
    x = 20,169.18

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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.