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Finding the Fourth Proportional to 55,542.70, 76,648.61 and 30,049

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Solution

The fourth proportional to 55,542.70, 76,648.61 and 30,049 is: 41,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,542.70 : 76,648.61 = 30,049 : x
  2. Step 2: Convert to fraction form
    55,542.70/76,648.61 = 30,049/x
  3. Step 3: Cross multiply
    55,542.70x = 76,648.61 × 30,049
  4. Step 4: Simplify right side
    55,542.70x = 2,303,214,081.89
  5. Step 5: Solve for x
    x = 2,303,214,081.89/55,542.70
  6. Step 6: Final answer
    x = 41,467.45

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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.