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Finding the Fourth Proportional to 54,037.82, 74,571.91 and 31,382.38

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Solution

The fourth proportional to 54,037.82, 74,571.91 and 31,382.38 is: 43,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,037.82 : 74,571.91 = 31,382.38 : x
  2. Step 2: Convert to fraction form
    54,037.82/74,571.91 = 31,382.38/x
  3. Step 3: Cross multiply
    54,037.82x = 74,571.91 × 31,382.38
  4. Step 4: Simplify right side
    54,037.82x = 2,340,243,752.06
  5. Step 5: Solve for x
    x = 2,340,243,752.06/54,037.82
  6. Step 6: Final answer
    x = 43,307.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.