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Finding the Fourth Proportional to 67,296.90, 100,967.82 and 29,851.81

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Solution

The fourth proportional to 67,296.90, 100,967.82 and 29,851.81 is: 44,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296.90 : 100,967.82 = 29,851.81 : x
  2. Step 2: Convert to fraction form
    67,296.90/100,967.82 = 29,851.81/x
  3. Step 3: Cross multiply
    67,296.90x = 100,967.82 × 29,851.81
  4. Step 4: Simplify right side
    67,296.90x = 3,014,072,178.75
  5. Step 5: Solve for x
    x = 3,014,072,178.75/67,296.90
  6. Step 6: Final answer
    x = 44,787.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.