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Finding the Fourth Proportional to 55,762.29, 76,930.07 and 31,876.16

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Solution

The fourth proportional to 55,762.29, 76,930.07 and 31,876.16 is: 43,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.29 : 76,930.07 = 31,876.16 : x
  2. Step 2: Convert to fraction form
    55,762.29/76,930.07 = 31,876.16/x
  3. Step 3: Cross multiply
    55,762.29x = 76,930.07 × 31,876.16
  4. Step 4: Simplify right side
    55,762.29x = 2,452,234,676.10
  5. Step 5: Solve for x
    x = 2,452,234,676.10/55,762.29
  6. Step 6: Final answer
    x = 43,976.58

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