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Finding the Fourth Proportional to 38,835.66, 53,592.70 and 21,839.90

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Solution

The fourth proportional to 38,835.66, 53,592.70 and 21,839.90 is: 30,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835.66 : 53,592.70 = 21,839.90 : x
  2. Step 2: Convert to fraction form
    38,835.66/53,592.70 = 21,839.90/x
  3. Step 3: Cross multiply
    38,835.66x = 53,592.70 × 21,839.90
  4. Step 4: Simplify right side
    38,835.66x = 1,170,459,208.73
  5. Step 5: Solve for x
    x = 1,170,459,208.73/38,835.66
  6. Step 6: Final answer
    x = 30,138.77

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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.