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Finding the Fourth Proportional to 38,850, 53,621.82 and 27,507.68

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Solution

The fourth proportional to 38,850, 53,621.82 and 27,507.68 is: 37,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,850 : 53,621.82 = 27,507.68 : x
  2. Step 2: Convert to fraction form
    38,850/53,621.82 = 27,507.68/x
  3. Step 3: Cross multiply
    38,850x = 53,621.82 × 27,507.68
  4. Step 4: Simplify right side
    38,850x = 1,475,011,865.58
  5. Step 5: Solve for x
    x = 1,475,011,865.58/38,850
  6. Step 6: Final answer
    x = 37,966.84

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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.