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Finding the Fourth Proportional to 49,437.68, 74,104.94 and 24,462.14

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Solution

The fourth proportional to 49,437.68, 74,104.94 and 24,462.14 is: 36,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,437.68 : 74,104.94 = 24,462.14 : x
  2. Step 2: Convert to fraction form
    49,437.68/74,104.94 = 24,462.14/x
  3. Step 3: Cross multiply
    49,437.68x = 74,104.94 × 24,462.14
  4. Step 4: Simplify right side
    49,437.68x = 1,812,765,416.97
  5. Step 5: Solve for x
    x = 1,812,765,416.97/49,437.68
  6. Step 6: Final answer
    x = 36,667.69

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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.