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Finding the Fourth Proportional to 54,007.66, 74,537.30 and 31,341.78

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Solution

The fourth proportional to 54,007.66, 74,537.30 and 31,341.78 is: 43,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,007.66 : 74,537.30 = 31,341.78 : x
  2. Step 2: Convert to fraction form
    54,007.66/74,537.30 = 31,341.78/x
  3. Step 3: Cross multiply
    54,007.66x = 74,537.30 × 31,341.78
  4. Step 4: Simplify right side
    54,007.66x = 2,336,131,501.69
  5. Step 5: Solve for x
    x = 2,336,131,501.69/54,007.66
  6. Step 6: Final answer
    x = 43,255.56

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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.