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Finding the Fourth Proportional to 36,853, 55,288.14 and 12,229

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Solution

The fourth proportional to 36,853, 55,288.14 and 12,229 is: 18,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,853 : 55,288.14 = 12,229 : x
  2. Step 2: Convert to fraction form
    36,853/55,288.14 = 12,229/x
  3. Step 3: Cross multiply
    36,853x = 55,288.14 × 12,229
  4. Step 4: Simplify right side
    36,853x = 676,118,664.06
  5. Step 5: Solve for x
    x = 676,118,664.06/36,853
  6. Step 6: Final answer
    x = 18,346.37

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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.