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Finding the Fourth Proportional to 34,497.14, 51,781.90 and 30,573.50

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Solution

The fourth proportional to 34,497.14, 51,781.90 and 30,573.50 is: 45,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497.14 : 51,781.90 = 30,573.50 : x
  2. Step 2: Convert to fraction form
    34,497.14/51,781.90 = 30,573.50/x
  3. Step 3: Cross multiply
    34,497.14x = 51,781.90 × 30,573.50
  4. Step 4: Simplify right side
    34,497.14x = 1,583,153,919.65
  5. Step 5: Solve for x
    x = 1,583,153,919.65/34,497.14
  6. Step 6: Final answer
    x = 45,892.32

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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.