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Finding the Fourth Proportional to 61,568, 92,356.32 and 24,632

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Solution

The fourth proportional to 61,568, 92,356.32 and 24,632 is: 36,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,568 : 92,356.32 = 24,632 : x
  2. Step 2: Convert to fraction form
    61,568/92,356.32 = 24,632/x
  3. Step 3: Cross multiply
    61,568x = 92,356.32 × 24,632
  4. Step 4: Simplify right side
    61,568x = 2,274,920,874.24
  5. Step 5: Solve for x
    x = 2,274,920,874.24/61,568
  6. Step 6: Final answer
    x = 36,949.73

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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.