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Finding the Fourth Proportional to 35,697.24, 49,264.16 and 19,781.36

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Solution

The fourth proportional to 35,697.24, 49,264.16 and 19,781.36 is: 27,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.24 : 49,264.16 = 19,781.36 : x
  2. Step 2: Convert to fraction form
    35,697.24/49,264.16 = 19,781.36/x
  3. Step 3: Cross multiply
    35,697.24x = 49,264.16 × 19,781.36
  4. Step 4: Simplify right side
    35,697.24x = 974,512,084.06
  5. Step 5: Solve for x
    x = 974,512,084.06/35,697.24
  6. Step 6: Final answer
    x = 27,299.37

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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.