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Finding the Fourth Proportional to 35,872.32, 49,501 and 19,954.20

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Solution

The fourth proportional to 35,872.32, 49,501 and 19,954.20 is: 27,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872.32 : 49,501 = 19,954.20 : x
  2. Step 2: Convert to fraction form
    35,872.32/49,501 = 19,954.20/x
  3. Step 3: Cross multiply
    35,872.32x = 49,501 × 19,954.20
  4. Step 4: Simplify right side
    35,872.32x = 987,752,854.20
  5. Step 5: Solve for x
    x = 987,752,854.20/35,872.32
  6. Step 6: Final answer
    x = 27,535.24

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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.