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Finding the Fourth Proportional to 37,460.56, 56,190.60 and 9,758.56

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Solution

The fourth proportional to 37,460.56, 56,190.60 and 9,758.56 is: 14,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,460.56 : 56,190.60 = 9,758.56 : x
  2. Step 2: Convert to fraction form
    37,460.56/56,190.60 = 9,758.56/x
  3. Step 3: Cross multiply
    37,460.56x = 56,190.60 × 9,758.56
  4. Step 4: Simplify right side
    37,460.56x = 548,339,341.54
  5. Step 5: Solve for x
    x = 548,339,341.54/37,460.56
  6. Step 6: Final answer
    x = 14,637.78

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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.