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Finding the Fourth Proportional to 35,784.54, 49,382.82 and 19,868.94

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Solution

The fourth proportional to 35,784.54, 49,382.82 and 19,868.94 is: 27,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.54 : 49,382.82 = 19,868.94 : x
  2. Step 2: Convert to fraction form
    35,784.54/49,382.82 = 19,868.94/x
  3. Step 3: Cross multiply
    35,784.54x = 49,382.82 × 19,868.94
  4. Step 4: Simplify right side
    35,784.54x = 981,184,287.61
  5. Step 5: Solve for x
    x = 981,184,287.61/35,784.54
  6. Step 6: Final answer
    x = 27,419.22

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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.