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Finding the Fourth Proportional to 54,607.96, 81,907.44 and 15,166

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Solution

The fourth proportional to 54,607.96, 81,907.44 and 15,166 is: 22,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,607.96 : 81,907.44 = 15,166 : x
  2. Step 2: Convert to fraction form
    54,607.96/81,907.44 = 15,166/x
  3. Step 3: Cross multiply
    54,607.96x = 81,907.44 × 15,166
  4. Step 4: Simplify right side
    54,607.96x = 1,242,208,235.04
  5. Step 5: Solve for x
    x = 1,242,208,235.04/54,607.96
  6. Step 6: Final answer
    x = 22,747.75

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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.