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Finding the Fourth Proportional to 45,052.96, 67,583.76 and 20,092

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Solution

The fourth proportional to 45,052.96, 67,583.76 and 20,092 is: 30,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,052.96 : 67,583.76 = 20,092 : x
  2. Step 2: Convert to fraction form
    45,052.96/67,583.76 = 20,092/x
  3. Step 3: Cross multiply
    45,052.96x = 67,583.76 × 20,092
  4. Step 4: Simplify right side
    45,052.96x = 1,357,892,905.92
  5. Step 5: Solve for x
    x = 1,357,892,905.92/45,052.96
  6. Step 6: Final answer
    x = 30,139.93

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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.