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Finding the Fourth Proportional to 55,762.92, 76,942.80 and 31,563.72

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Solution

The fourth proportional to 55,762.92, 76,942.80 and 31,563.72 is: 43,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.92 : 76,942.80 = 31,563.72 : x
  2. Step 2: Convert to fraction form
    55,762.92/76,942.80 = 31,563.72/x
  3. Step 3: Cross multiply
    55,762.92x = 76,942.80 × 31,563.72
  4. Step 4: Simplify right side
    55,762.92x = 2,428,600,995.22
  5. Step 5: Solve for x
    x = 2,428,600,995.22/55,762.92
  6. Step 6: Final answer
    x = 43,552.26

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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.