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Finding the Fourth Proportional to 35,784.30, 49,381.39 and 19,868.34

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Solution

The fourth proportional to 35,784.30, 49,381.39 and 19,868.34 is: 27,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.30 : 49,381.39 = 19,868.34 : x
  2. Step 2: Convert to fraction form
    35,784.30/49,381.39 = 19,868.34/x
  3. Step 3: Cross multiply
    35,784.30x = 49,381.39 × 19,868.34
  4. Step 4: Simplify right side
    35,784.30x = 981,125,899.94
  5. Step 5: Solve for x
    x = 981,125,899.94/35,784.30
  6. Step 6: Final answer
    x = 27,417.78

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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.