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Finding the Fourth Proportional to 61,736.16, 92,608.24 and 24,800.16

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Solution

The fourth proportional to 61,736.16, 92,608.24 and 24,800.16 is: 37,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,736.16 : 92,608.24 = 24,800.16 : x
  2. Step 2: Convert to fraction form
    61,736.16/92,608.24 = 24,800.16/x
  3. Step 3: Cross multiply
    61,736.16x = 92,608.24 × 24,800.16
  4. Step 4: Simplify right side
    61,736.16x = 2,296,699,169.32
  5. Step 5: Solve for x
    x = 2,296,699,169.32/61,736.16
  6. Step 6: Final answer
    x = 37,201.85

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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.