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Finding the Fourth Proportional to 35,790.78, 49,389.60 and 19,876.20

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Solution

The fourth proportional to 35,790.78, 49,389.60 and 19,876.20 is: 27,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,790.78 : 49,389.60 = 19,876.20 : x
  2. Step 2: Convert to fraction form
    35,790.78/49,389.60 = 19,876.20/x
  3. Step 3: Cross multiply
    35,790.78x = 49,389.60 × 19,876.20
  4. Step 4: Simplify right side
    35,790.78x = 981,677,567.52
  5. Step 5: Solve for x
    x = 981,677,567.52/35,790.78
  6. Step 6: Final answer
    x = 27,428.23

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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.