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Finding the Fourth Proportional to 51,058, 76,591.16 and 14,122.32

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Solution

The fourth proportional to 51,058, 76,591.16 and 14,122.32 is: 21,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,058 : 76,591.16 = 14,122.32 : x
  2. Step 2: Convert to fraction form
    51,058/76,591.16 = 14,122.32/x
  3. Step 3: Cross multiply
    51,058x = 76,591.16 × 14,122.32
  4. Step 4: Simplify right side
    51,058x = 1,081,644,870.69
  5. Step 5: Solve for x
    x = 1,081,644,870.69/51,058
  6. Step 6: Final answer
    x = 21,184.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.