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Finding the Fourth Proportional to 29,324.34, 43,989.06 and 8,264.52

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Solution

The fourth proportional to 29,324.34, 43,989.06 and 8,264.52 is: 12,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324.34 : 43,989.06 = 8,264.52 : x
  2. Step 2: Convert to fraction form
    29,324.34/43,989.06 = 8,264.52/x
  3. Step 3: Cross multiply
    29,324.34x = 43,989.06 × 8,264.52
  4. Step 4: Simplify right side
    29,324.34x = 363,548,466.15
  5. Step 5: Solve for x
    x = 363,548,466.15/29,324.34
  6. Step 6: Final answer
    x = 12,397.50

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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.