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Finding the Fourth Proportional to 57,296.50, 85,979.31 and 24,464.50

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Solution

The fourth proportional to 57,296.50, 85,979.31 and 24,464.50 is: 36,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,296.50 : 85,979.31 = 24,464.50 : x
  2. Step 2: Convert to fraction form
    57,296.50/85,979.31 = 24,464.50/x
  3. Step 3: Cross multiply
    57,296.50x = 85,979.31 × 24,464.50
  4. Step 4: Simplify right side
    57,296.50x = 2,103,440,829.50
  5. Step 5: Solve for x
    x = 2,103,440,829.50/57,296.50
  6. Step 6: Final answer
    x = 36,711.51

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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.