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Finding the Fourth Proportional to 54,788.79, 82,186.31 and 15,348.98

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Solution

The fourth proportional to 54,788.79, 82,186.31 and 15,348.98 is: 23,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,788.79 : 82,186.31 = 15,348.98 : x
  2. Step 2: Convert to fraction form
    54,788.79/82,186.31 = 15,348.98/x
  3. Step 3: Cross multiply
    54,788.79x = 82,186.31 × 15,348.98
  4. Step 4: Simplify right side
    54,788.79x = 1,261,475,540.79
  5. Step 5: Solve for x
    x = 1,261,475,540.79/54,788.79
  6. Step 6: Final answer
    x = 23,024.34

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Why These Related Problems?

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