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Finding the Fourth Proportional to 61,424.92, 92,187.54 and 31,851.64

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Solution

The fourth proportional to 61,424.92, 92,187.54 and 31,851.64 is: 47,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424.92 : 92,187.54 = 31,851.64 : x
  2. Step 2: Convert to fraction form
    61,424.92/92,187.54 = 31,851.64/x
  3. Step 3: Cross multiply
    61,424.92x = 92,187.54 × 31,851.64
  4. Step 4: Simplify right side
    61,424.92x = 2,936,324,336.57
  5. Step 5: Solve for x
    x = 2,936,324,336.57/61,424.92
  6. Step 6: Final answer
    x = 47,803.47

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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.