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Finding the Fourth Proportional to 57,605.25, 86,441.90 and 24,323.16

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Solution

The fourth proportional to 57,605.25, 86,441.90 and 24,323.16 is: 36,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,605.25 : 86,441.90 = 24,323.16 : x
  2. Step 2: Convert to fraction form
    57,605.25/86,441.90 = 24,323.16/x
  3. Step 3: Cross multiply
    57,605.25x = 86,441.90 × 24,323.16
  4. Step 4: Simplify right side
    57,605.25x = 2,102,540,042.79
  5. Step 5: Solve for x
    x = 2,102,540,042.79/57,605.25
  6. Step 6: Final answer
    x = 36,499.10

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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.