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Finding the Fourth Proportional to 38,507.60, 57,736.67 and 16,033.83

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Solution

The fourth proportional to 38,507.60, 57,736.67 and 16,033.83 is: 24,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.60 : 57,736.67 = 16,033.83 : x
  2. Step 2: Convert to fraction form
    38,507.60/57,736.67 = 16,033.83/x
  3. Step 3: Cross multiply
    38,507.60x = 57,736.67 × 16,033.83
  4. Step 4: Simplify right side
    38,507.60x = 925,739,871.38
  5. Step 5: Solve for x
    x = 925,739,871.38/38,507.60
  6. Step 6: Final answer
    x = 24,040.45

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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.