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Finding the Fourth Proportional to 37,147.36, 51,270.90 and 25,214.54

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Solution

The fourth proportional to 37,147.36, 51,270.90 and 25,214.54 is: 34,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147.36 : 51,270.90 = 25,214.54 : x
  2. Step 2: Convert to fraction form
    37,147.36/51,270.90 = 25,214.54/x
  3. Step 3: Cross multiply
    37,147.36x = 51,270.90 × 25,214.54
  4. Step 4: Simplify right side
    37,147.36x = 1,292,772,158.89
  5. Step 5: Solve for x
    x = 1,292,772,158.89/37,147.36
  6. Step 6: Final answer
    x = 34,801.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.