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Finding the Fourth Proportional to 96,842.87, 145,308.14 and 49,433.50

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Solution

The fourth proportional to 96,842.87, 145,308.14 and 49,433.50 is: 74,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,842.87 : 145,308.14 = 49,433.50 : x
  2. Step 2: Convert to fraction form
    96,842.87/145,308.14 = 49,433.50/x
  3. Step 3: Cross multiply
    96,842.87x = 145,308.14 × 49,433.50
  4. Step 4: Simplify right side
    96,842.87x = 7,183,088,964.98
  5. Step 5: Solve for x
    x = 7,183,088,964.98/96,842.87
  6. Step 6: Final answer
    x = 74,172.62

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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.