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Finding the Fourth Proportional to 37,654.50, 56,463.55 and 21,863.50

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Solution

The fourth proportional to 37,654.50, 56,463.55 and 21,863.50 is: 32,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654.50 : 56,463.55 = 21,863.50 : x
  2. Step 2: Convert to fraction form
    37,654.50/56,463.55 = 21,863.50/x
  3. Step 3: Cross multiply
    37,654.50x = 56,463.55 × 21,863.50
  4. Step 4: Simplify right side
    37,654.50x = 1,234,490,825.43
  5. Step 5: Solve for x
    x = 1,234,490,825.43/37,654.50
  6. Step 6: Final answer
    x = 32,784.68

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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.