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Finding the Fourth Proportional to 35,690, 49,252.20 and 21,542.84

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Solution

The fourth proportional to 35,690, 49,252.20 and 21,542.84 is: 29,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,690 : 49,252.20 = 21,542.84 : x
  2. Step 2: Convert to fraction form
    35,690/49,252.20 = 21,542.84/x
  3. Step 3: Cross multiply
    35,690x = 49,252.20 × 21,542.84
  4. Step 4: Simplify right side
    35,690x = 1,061,032,264.25
  5. Step 5: Solve for x
    x = 1,061,032,264.25/35,690
  6. Step 6: Final answer
    x = 29,729.12

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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.