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Finding the Fourth Proportional to 42,001.75, 63,003.84 and 10,837

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Solution

The fourth proportional to 42,001.75, 63,003.84 and 10,837 is: 16,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001.75 : 63,003.84 = 10,837 : x
  2. Step 2: Convert to fraction form
    42,001.75/63,003.84 = 10,837/x
  3. Step 3: Cross multiply
    42,001.75x = 63,003.84 × 10,837
  4. Step 4: Simplify right side
    42,001.75x = 682,772,614.08
  5. Step 5: Solve for x
    x = 682,772,614.08/42,001.75
  6. Step 6: Final answer
    x = 16,255.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.