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Finding the Fourth Proportional to 51,415.44, 70,949.84 and 29,058

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Solution

The fourth proportional to 51,415.44, 70,949.84 and 29,058 is: 40,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415.44 : 70,949.84 = 29,058 : x
  2. Step 2: Convert to fraction form
    51,415.44/70,949.84 = 29,058/x
  3. Step 3: Cross multiply
    51,415.44x = 70,949.84 × 29,058
  4. Step 4: Simplify right side
    51,415.44x = 2,061,660,450.72
  5. Step 5: Solve for x
    x = 2,061,660,450.72/51,415.44
  6. Step 6: Final answer
    x = 40,098.08

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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.