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Finding the Fourth Proportional to 34,114.33, 51,171.54 and 13,323.25

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Solution

The fourth proportional to 34,114.33, 51,171.54 and 13,323.25 is: 19,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.33 : 51,171.54 = 13,323.25 : x
  2. Step 2: Convert to fraction form
    34,114.33/51,171.54 = 13,323.25/x
  3. Step 3: Cross multiply
    34,114.33x = 51,171.54 × 13,323.25
  4. Step 4: Simplify right side
    34,114.33x = 681,771,220.31
  5. Step 5: Solve for x
    x = 681,771,220.31/34,114.33
  6. Step 6: Final answer
    x = 19,984.89

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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.