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Finding the Fourth Proportional to 53,454.92, 73,762.76 and 31,940.38

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Solution

The fourth proportional to 53,454.92, 73,762.76 and 31,940.38 is: 44,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,454.92 : 73,762.76 = 31,940.38 : x
  2. Step 2: Convert to fraction form
    53,454.92/73,762.76 = 31,940.38/x
  3. Step 3: Cross multiply
    53,454.92x = 73,762.76 × 31,940.38
  4. Step 4: Simplify right side
    53,454.92x = 2,356,010,584.25
  5. Step 5: Solve for x
    x = 2,356,010,584.25/53,454.92
  6. Step 6: Final answer
    x = 44,074.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.