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Finding the Fourth Proportional to 34,513.15, 51,759.71 and 13,448.49

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Solution

The fourth proportional to 34,513.15, 51,759.71 and 13,448.49 is: 20,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.15 : 51,759.71 = 13,448.49 : x
  2. Step 2: Convert to fraction form
    34,513.15/51,759.71 = 13,448.49/x
  3. Step 3: Cross multiply
    34,513.15x = 51,759.71 × 13,448.49
  4. Step 4: Simplify right side
    34,513.15x = 696,089,875.10
  5. Step 5: Solve for x
    x = 696,089,875.10/34,513.15
  6. Step 6: Final answer
    x = 20,168.83

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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.