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Finding the Fourth Proportional to 35,138.91, 48,474.94 and 21,705.33

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Solution

The fourth proportional to 35,138.91, 48,474.94 and 21,705.33 is: 29,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.91 : 48,474.94 = 21,705.33 : x
  2. Step 2: Convert to fraction form
    35,138.91/48,474.94 = 21,705.33/x
  3. Step 3: Cross multiply
    35,138.91x = 48,474.94 × 21,705.33
  4. Step 4: Simplify right side
    35,138.91x = 1,052,164,569.43
  5. Step 5: Solve for x
    x = 1,052,164,569.43/35,138.91
  6. Step 6: Final answer
    x = 29,943.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.