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Finding the Fourth Proportional to 37,616.47, 56,418.22 and 11,314.15

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Solution

The fourth proportional to 37,616.47, 56,418.22 and 11,314.15 is: 16,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.47 : 56,418.22 = 11,314.15 : x
  2. Step 2: Convert to fraction form
    37,616.47/56,418.22 = 11,314.15/x
  3. Step 3: Cross multiply
    37,616.47x = 56,418.22 × 11,314.15
  4. Step 4: Simplify right side
    37,616.47x = 638,324,203.81
  5. Step 5: Solve for x
    x = 638,324,203.81/37,616.47
  6. Step 6: Final answer
    x = 16,969.27

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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.