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Finding the Fourth Proportional to 35,754.60, 49,341.18 and 19,839

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Solution

The fourth proportional to 35,754.60, 49,341.18 and 19,839 is: 27,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754.60 : 49,341.18 = 19,839 : x
  2. Step 2: Convert to fraction form
    35,754.60/49,341.18 = 19,839/x
  3. Step 3: Cross multiply
    35,754.60x = 49,341.18 × 19,839
  4. Step 4: Simplify right side
    35,754.60x = 978,879,670.02
  5. Step 5: Solve for x
    x = 978,879,670.02/35,754.60
  6. Step 6: Final answer
    x = 27,377.73

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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.