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Finding the Fourth Proportional to 37,944, 56,916 and 10,242

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Solution

The fourth proportional to 37,944, 56,916 and 10,242 is: 15,363

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,944 : 56,916 = 10,242 : x
  2. Step 2: Convert to fraction form
    37,944/56,916 = 10,242/x
  3. Step 3: Cross multiply
    37,944x = 56,916 × 10,242
  4. Step 4: Simplify right side
    37,944x = 582,933,672
  5. Step 5: Solve for x
    x = 582,933,672/37,944
  6. Step 6: Final answer
    x = 15,363

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.