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Finding the Fourth Proportional to 37,182.46, 55,678.61 and 20,524.00

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Solution

The fourth proportional to 37,182.46, 55,678.61 and 20,524.00 is: 30,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182.46 : 55,678.61 = 20,524.00 : x
  2. Step 2: Convert to fraction form
    37,182.46/55,678.61 = 20,524.00/x
  3. Step 3: Cross multiply
    37,182.46x = 55,678.61 × 20,524.00
  4. Step 4: Simplify right side
    37,182.46x = 1,142,747,410.63
  5. Step 5: Solve for x
    x = 1,142,747,410.63/37,182.46
  6. Step 6: Final answer
    x = 30,733.51

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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.