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Finding the Fourth Proportional to 54,607.79, 81,842.42 and 24,590

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Solution

The fourth proportional to 54,607.79, 81,842.42 and 24,590 is: 36,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,607.79 : 81,842.42 = 24,590 : x
  2. Step 2: Convert to fraction form
    54,607.79/81,842.42 = 24,590/x
  3. Step 3: Cross multiply
    54,607.79x = 81,842.42 × 24,590
  4. Step 4: Simplify right side
    54,607.79x = 2,012,505,107.80
  5. Step 5: Solve for x
    x = 2,012,505,107.80/54,607.79
  6. Step 6: Final answer
    x = 36,853.81

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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.