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Finding the Fourth Proportional to 30,025.31, 45,044.39 and 8,967

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Solution

The fourth proportional to 30,025.31, 45,044.39 and 8,967 is: 13,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,025.31 : 45,044.39 = 8,967 : x
  2. Step 2: Convert to fraction form
    30,025.31/45,044.39 = 8,967/x
  3. Step 3: Cross multiply
    30,025.31x = 45,044.39 × 8,967
  4. Step 4: Simplify right side
    30,025.31x = 403,913,000.30
  5. Step 5: Solve for x
    x = 403,913,000.30/30,025.31
  6. Step 6: Final answer
    x = 13,452.42

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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.