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Finding the Fourth Proportional to 37,642.56, 56,466.57 and 11,349.35

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Solution

The fourth proportional to 37,642.56, 56,466.57 and 11,349.35 is: 17,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.56 : 56,466.57 = 11,349.35 : x
  2. Step 2: Convert to fraction form
    37,642.56/56,466.57 = 11,349.35/x
  3. Step 3: Cross multiply
    37,642.56x = 56,466.57 × 11,349.35
  4. Step 4: Simplify right side
    37,642.56x = 640,858,583.90
  5. Step 5: Solve for x
    x = 640,858,583.90/37,642.56
  6. Step 6: Final answer
    x = 17,024.84

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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.