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Finding the Fourth Proportional to 57,438.93, 86,172.15 and 27,822.15

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Solution

The fourth proportional to 57,438.93, 86,172.15 and 27,822.15 is: 41,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,438.93 : 86,172.15 = 27,822.15 : x
  2. Step 2: Convert to fraction form
    57,438.93/86,172.15 = 27,822.15/x
  3. Step 3: Cross multiply
    57,438.93x = 86,172.15 × 27,822.15
  4. Step 4: Simplify right side
    57,438.93x = 2,397,494,483.12
  5. Step 5: Solve for x
    x = 2,397,494,483.12/57,438.93
  6. Step 6: Final answer
    x = 41,739.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.