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Finding the Fourth Proportional to 35,674.10, 49,229.65 and 19,758.21

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Solution

The fourth proportional to 35,674.10, 49,229.65 and 19,758.21 is: 27,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.10 : 49,229.65 = 19,758.21 : x
  2. Step 2: Convert to fraction form
    35,674.10/49,229.65 = 19,758.21/x
  3. Step 3: Cross multiply
    35,674.10x = 49,229.65 × 19,758.21
  4. Step 4: Simplify right side
    35,674.10x = 972,689,603.01
  5. Step 5: Solve for x
    x = 972,689,603.01/35,674.10
  6. Step 6: Final answer
    x = 27,265.99

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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.