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Finding the Fourth Proportional to 35,990.32, 49,664.28 and 22,561

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Solution

The fourth proportional to 35,990.32, 49,664.28 and 22,561 is: 31,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,990.32 : 49,664.28 = 22,561 : x
  2. Step 2: Convert to fraction form
    35,990.32/49,664.28 = 22,561/x
  3. Step 3: Cross multiply
    35,990.32x = 49,664.28 × 22,561
  4. Step 4: Simplify right side
    35,990.32x = 1,120,475,821.08
  5. Step 5: Solve for x
    x = 1,120,475,821.08/35,990.32
  6. Step 6: Final answer
    x = 31,132.70

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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.