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Finding the Fourth Proportional to 54,375.78, 75,099.36 and 37,432

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Solution

The fourth proportional to 54,375.78, 75,099.36 and 37,432 is: 51,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,375.78 : 75,099.36 = 37,432 : x
  2. Step 2: Convert to fraction form
    54,375.78/75,099.36 = 37,432/x
  3. Step 3: Cross multiply
    54,375.78x = 75,099.36 × 37,432
  4. Step 4: Simplify right side
    54,375.78x = 2,811,119,243.52
  5. Step 5: Solve for x
    x = 2,811,119,243.52/54,375.78
  6. Step 6: Final answer
    x = 51,698.00

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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.