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Finding the Fourth Proportional to 57,605.50, 86,442.27 and 24,323.41

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Solution

The fourth proportional to 57,605.50, 86,442.27 and 24,323.41 is: 36,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,605.50 : 86,442.27 = 24,323.41 : x
  2. Step 2: Convert to fraction form
    57,605.50/86,442.27 = 24,323.41/x
  3. Step 3: Cross multiply
    57,605.50x = 86,442.27 × 24,323.41
  4. Step 4: Simplify right side
    57,605.50x = 2,102,570,774.54
  5. Step 5: Solve for x
    x = 2,102,570,774.54/57,605.50
  6. Step 6: Final answer
    x = 36,499.48

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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.