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Finding the Fourth Proportional to 37,027.34, 51,097.52 and 20,031.54

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Solution

The fourth proportional to 37,027.34, 51,097.52 and 20,031.54 is: 27,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027.34 : 51,097.52 = 20,031.54 : x
  2. Step 2: Convert to fraction form
    37,027.34/51,097.52 = 20,031.54/x
  3. Step 3: Cross multiply
    37,027.34x = 51,097.52 × 20,031.54
  4. Step 4: Simplify right side
    37,027.34x = 1,023,562,065.86
  5. Step 5: Solve for x
    x = 1,023,562,065.86/37,027.34
  6. Step 6: Final answer
    x = 27,643.41

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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.