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Finding the Fourth Proportional to 37,294.72, 55,930 and 12,328.96

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Solution

The fourth proportional to 37,294.72, 55,930 and 12,328.96 is: 18,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,294.72 : 55,930 = 12,328.96 : x
  2. Step 2: Convert to fraction form
    37,294.72/55,930 = 12,328.96/x
  3. Step 3: Cross multiply
    37,294.72x = 55,930 × 12,328.96
  4. Step 4: Simplify right side
    37,294.72x = 689,558,732.80
  5. Step 5: Solve for x
    x = 689,558,732.80/37,294.72
  6. Step 6: Final answer
    x = 18,489.45

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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.