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Finding the Fourth Proportional to 35,930.44, 49,586.34 and 24,733

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Solution

The fourth proportional to 35,930.44, 49,586.34 and 24,733 is: 34,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,930.44 : 49,586.34 = 24,733 : x
  2. Step 2: Convert to fraction form
    35,930.44/49,586.34 = 24,733/x
  3. Step 3: Cross multiply
    35,930.44x = 49,586.34 × 24,733
  4. Step 4: Simplify right side
    35,930.44x = 1,226,418,947.22
  5. Step 5: Solve for x
    x = 1,226,418,947.22/35,930.44
  6. Step 6: Final answer
    x = 34,133.15

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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.