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Finding the Fourth Proportional to 37,857.84, 52,246.77 and 20,865.14

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Solution

The fourth proportional to 37,857.84, 52,246.77 and 20,865.14 is: 28,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.84 : 52,246.77 = 20,865.14 : x
  2. Step 2: Convert to fraction form
    37,857.84/52,246.77 = 20,865.14/x
  3. Step 3: Cross multiply
    37,857.84x = 52,246.77 × 20,865.14
  4. Step 4: Simplify right side
    37,857.84x = 1,090,135,909.36
  5. Step 5: Solve for x
    x = 1,090,135,909.36/37,857.84
  6. Step 6: Final answer
    x = 28,795.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.