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Finding the Fourth Proportional to 35,832.30, 49,448.57 and 19,916.78

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Solution

The fourth proportional to 35,832.30, 49,448.57 and 19,916.78 is: 27,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.30 : 49,448.57 = 19,916.78 : x
  2. Step 2: Convert to fraction form
    35,832.30/49,448.57 = 19,916.78/x
  3. Step 3: Cross multiply
    35,832.30x = 49,448.57 × 19,916.78
  4. Step 4: Simplify right side
    35,832.30x = 984,855,943.18
  5. Step 5: Solve for x
    x = 984,855,943.18/35,832.30
  6. Step 6: Final answer
    x = 27,485.14

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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.