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Finding the Fourth Proportional to 52,057.86, 71,839.50 and 28,184.49

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Solution

The fourth proportional to 52,057.86, 71,839.50 and 28,184.49 is: 38,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.86 : 71,839.50 = 28,184.49 : x
  2. Step 2: Convert to fraction form
    52,057.86/71,839.50 = 28,184.49/x
  3. Step 3: Cross multiply
    52,057.86x = 71,839.50 × 28,184.49
  4. Step 4: Simplify right side
    52,057.86x = 2,024,759,669.36
  5. Step 5: Solve for x
    x = 2,024,759,669.36/52,057.86
  6. Step 6: Final answer
    x = 38,894.41

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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.