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Finding the Fourth Proportional to 56,097.66, 77,414.77 and 32,224.33

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Solution

The fourth proportional to 56,097.66, 77,414.77 and 32,224.33 is: 44,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,097.66 : 77,414.77 = 32,224.33 : x
  2. Step 2: Convert to fraction form
    56,097.66/77,414.77 = 32,224.33/x
  3. Step 3: Cross multiply
    56,097.66x = 77,414.77 × 32,224.33
  4. Step 4: Simplify right side
    56,097.66x = 2,494,639,232.40
  5. Step 5: Solve for x
    x = 2,494,639,232.40/56,097.66
  6. Step 6: Final answer
    x = 44,469.57

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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.