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Finding the Fourth Proportional to 38,462.60, 57,740.70 and 24,422.60

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Solution

The fourth proportional to 38,462.60, 57,740.70 and 24,422.60 is: 36,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.60 : 57,740.70 = 24,422.60 : x
  2. Step 2: Convert to fraction form
    38,462.60/57,740.70 = 24,422.60/x
  3. Step 3: Cross multiply
    38,462.60x = 57,740.70 × 24,422.60
  4. Step 4: Simplify right side
    38,462.60x = 1,410,178,019.82
  5. Step 5: Solve for x
    x = 1,410,178,019.82/38,462.60
  6. Step 6: Final answer
    x = 36,663.62

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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.