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Finding the Fourth Proportional to 38,260.98, 52,764.84 and 23,916.24

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Solution

The fourth proportional to 38,260.98, 52,764.84 and 23,916.24 is: 32,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,260.98 : 52,764.84 = 23,916.24 : x
  2. Step 2: Convert to fraction form
    38,260.98/52,764.84 = 23,916.24/x
  3. Step 3: Cross multiply
    38,260.98x = 52,764.84 × 23,916.24
  4. Step 4: Simplify right side
    38,260.98x = 1,261,936,577.00
  5. Step 5: Solve for x
    x = 1,261,936,577.00/38,260.98
  6. Step 6: Final answer
    x = 32,982.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.