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Finding the Fourth Proportional to 35,785.87, 49,386.00 and 19,871.80

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Solution

The fourth proportional to 35,785.87, 49,386.00 and 19,871.80 is: 27,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,785.87 : 49,386.00 = 19,871.80 : x
  2. Step 2: Convert to fraction form
    35,785.87/49,386.00 = 19,871.80/x
  3. Step 3: Cross multiply
    35,785.87x = 49,386.00 × 19,871.80
  4. Step 4: Simplify right side
    35,785.87x = 981,388,665.85
  5. Step 5: Solve for x
    x = 981,388,665.85/35,785.87
  6. Step 6: Final answer
    x = 27,423.92

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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.