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Finding the Fourth Proportional to 35,581, 49,101.86 and 21,434.44

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Solution

The fourth proportional to 35,581, 49,101.86 and 21,434.44 is: 29,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,581 : 49,101.86 = 21,434.44 : x
  2. Step 2: Convert to fraction form
    35,581/49,101.86 = 21,434.44/x
  3. Step 3: Cross multiply
    35,581x = 49,101.86 × 21,434.44
  4. Step 4: Simplify right side
    35,581x = 1,052,470,872.06
  5. Step 5: Solve for x
    x = 1,052,470,872.06/35,581
  6. Step 6: Final answer
    x = 29,579.58

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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.