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Finding the Fourth Proportional to 35,794.56, 49,398.72 and 21,648

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Solution

The fourth proportional to 35,794.56, 49,398.72 and 21,648 is: 29,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794.56 : 49,398.72 = 21,648 : x
  2. Step 2: Convert to fraction form
    35,794.56/49,398.72 = 21,648/x
  3. Step 3: Cross multiply
    35,794.56x = 49,398.72 × 21,648
  4. Step 4: Simplify right side
    35,794.56x = 1,069,383,490.56
  5. Step 5: Solve for x
    x = 1,069,383,490.56/35,794.56
  6. Step 6: Final answer
    x = 29,875.59

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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.