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Finding the Fourth Proportional to 35,856.83, 49,480.13 and 22,427.44

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Solution

The fourth proportional to 35,856.83, 49,480.13 and 22,427.44 is: 30,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.83 : 49,480.13 = 22,427.44 : x
  2. Step 2: Convert to fraction form
    35,856.83/49,480.13 = 22,427.44/x
  3. Step 3: Cross multiply
    35,856.83x = 49,480.13 × 22,427.44
  4. Step 4: Simplify right side
    35,856.83x = 1,109,712,579.14
  5. Step 5: Solve for x
    x = 1,109,712,579.14/35,856.83
  6. Step 6: Final answer
    x = 30,948.43

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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.