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Finding the Fourth Proportional to 34,513.58, 51,760.36 and 13,448.93

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Solution

The fourth proportional to 34,513.58, 51,760.36 and 13,448.93 is: 20,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.58 : 51,760.36 = 13,448.93 : x
  2. Step 2: Convert to fraction form
    34,513.58/51,760.36 = 13,448.93/x
  3. Step 3: Cross multiply
    34,513.58x = 51,760.36 × 13,448.93
  4. Step 4: Simplify right side
    34,513.58x = 696,121,458.41
  5. Step 5: Solve for x
    x = 696,121,458.41/34,513.58
  6. Step 6: Final answer
    x = 20,169.49

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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.