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Finding the Fourth Proportional to 52,335.99, 78,523.83 and 24,269.49

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Solution

The fourth proportional to 52,335.99, 78,523.83 and 24,269.49 is: 36,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,335.99 : 78,523.83 = 24,269.49 : x
  2. Step 2: Convert to fraction form
    52,335.99/78,523.83 = 24,269.49/x
  3. Step 3: Cross multiply
    52,335.99x = 78,523.83 × 24,269.49
  4. Step 4: Simplify right side
    52,335.99x = 1,905,733,306.95
  5. Step 5: Solve for x
    x = 1,905,733,306.95/52,335.99
  6. Step 6: Final answer
    x = 36,413.44

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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.