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Finding the Fourth Proportional to 37,114.24, 51,218.24 and 20,346.24

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Solution

The fourth proportional to 37,114.24, 51,218.24 and 20,346.24 is: 28,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114.24 : 51,218.24 = 20,346.24 : x
  2. Step 2: Convert to fraction form
    37,114.24/51,218.24 = 20,346.24/x
  3. Step 3: Cross multiply
    37,114.24x = 51,218.24 × 20,346.24
  4. Step 4: Simplify right side
    37,114.24x = 1,042,098,603.42
  5. Step 5: Solve for x
    x = 1,042,098,603.42/37,114.24
  6. Step 6: Final answer
    x = 28,078.13

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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.