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Finding the Fourth Proportional to 36,944, 55,416 and 9,242

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Solution

The fourth proportional to 36,944, 55,416 and 9,242 is: 13,863

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,944 : 55,416 = 9,242 : x
  2. Step 2: Convert to fraction form
    36,944/55,416 = 9,242/x
  3. Step 3: Cross multiply
    36,944x = 55,416 × 9,242
  4. Step 4: Simplify right side
    36,944x = 512,154,672
  5. Step 5: Solve for x
    x = 512,154,672/36,944
  6. Step 6: Final answer
    x = 13,863

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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.