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Finding the Fourth Proportional to 36,937.88, 50,967.52 and 21,833

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Solution

The fourth proportional to 36,937.88, 50,967.52 and 21,833 is: 30,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,937.88 : 50,967.52 = 21,833 : x
  2. Step 2: Convert to fraction form
    36,937.88/50,967.52 = 21,833/x
  3. Step 3: Cross multiply
    36,937.88x = 50,967.52 × 21,833
  4. Step 4: Simplify right side
    36,937.88x = 1,112,773,864.16
  5. Step 5: Solve for x
    x = 1,112,773,864.16/36,937.88
  6. Step 6: Final answer
    x = 30,125.55

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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.