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Finding the Fourth Proportional to 36,789, 55,184.03 and 10,493.75

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Solution

The fourth proportional to 36,789, 55,184.03 and 10,493.75 is: 15,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,789 : 55,184.03 = 10,493.75 : x
  2. Step 2: Convert to fraction form
    36,789/55,184.03 = 10,493.75/x
  3. Step 3: Cross multiply
    36,789x = 55,184.03 × 10,493.75
  4. Step 4: Simplify right side
    36,789x = 579,087,086.42
  5. Step 5: Solve for x
    x = 579,087,086.42/36,789
  6. Step 6: Final answer
    x = 15,740.77

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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.