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Finding the Fourth Proportional to 37,078.80, 55,552.44 and 30,802

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Solution

The fourth proportional to 37,078.80, 55,552.44 and 30,802 is: 46,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078.80 : 55,552.44 = 30,802 : x
  2. Step 2: Convert to fraction form
    37,078.80/55,552.44 = 30,802/x
  3. Step 3: Cross multiply
    37,078.80x = 55,552.44 × 30,802
  4. Step 4: Simplify right side
    37,078.80x = 1,711,126,256.88
  5. Step 5: Solve for x
    x = 1,711,126,256.88/37,078.80
  6. Step 6: Final answer
    x = 46,148.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.