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Finding the Fourth Proportional to 54,374.78, 75,097.98 and 37,431

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Solution

The fourth proportional to 54,374.78, 75,097.98 and 37,431 is: 51,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,374.78 : 75,097.98 = 37,431 : x
  2. Step 2: Convert to fraction form
    54,374.78/75,097.98 = 37,431/x
  3. Step 3: Cross multiply
    54,374.78x = 75,097.98 × 37,431
  4. Step 4: Simplify right side
    54,374.78x = 2,810,992,489.38
  5. Step 5: Solve for x
    x = 2,810,992,489.38/54,374.78
  6. Step 6: Final answer
    x = 51,696.63

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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.