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Finding the Fourth Proportional to 61,898.94, 92,767.77 and 24,942.78

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Solution

The fourth proportional to 61,898.94, 92,767.77 and 24,942.78 is: 37,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,898.94 : 92,767.77 = 24,942.78 : x
  2. Step 2: Convert to fraction form
    61,898.94/92,767.77 = 24,942.78/x
  3. Step 3: Cross multiply
    61,898.94x = 92,767.77 × 24,942.78
  4. Step 4: Simplify right side
    61,898.94x = 2,313,886,078.20
  5. Step 5: Solve for x
    x = 2,313,886,078.20/61,898.94
  6. Step 6: Final answer
    x = 37,381.68

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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.