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Finding the Fourth Proportional to 35,788.68, 49,391.40 and 19,876.20

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Solution

The fourth proportional to 35,788.68, 49,391.40 and 19,876.20 is: 27,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.68 : 49,391.40 = 19,876.20 : x
  2. Step 2: Convert to fraction form
    35,788.68/49,391.40 = 19,876.20/x
  3. Step 3: Cross multiply
    35,788.68x = 49,391.40 × 19,876.20
  4. Step 4: Simplify right side
    35,788.68x = 981,713,344.68
  5. Step 5: Solve for x
    x = 981,713,344.68/35,788.68
  6. Step 6: Final answer
    x = 27,430.83

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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.