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Finding the Fourth Proportional to 37,835.66, 52,212.78 and 20,839.58

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Solution

The fourth proportional to 37,835.66, 52,212.78 and 20,839.58 is: 28,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,835.66 : 52,212.78 = 20,839.58 : x
  2. Step 2: Convert to fraction form
    37,835.66/52,212.78 = 20,839.58/x
  3. Step 3: Cross multiply
    37,835.66x = 52,212.78 × 20,839.58
  4. Step 4: Simplify right side
    37,835.66x = 1,088,092,405.83
  5. Step 5: Solve for x
    x = 1,088,092,405.83/37,835.66
  6. Step 6: Final answer
    x = 28,758.38

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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.