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Finding the Fourth Proportional to 29,672.52, 44,516.06 and 8,896

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Solution

The fourth proportional to 29,672.52, 44,516.06 and 8,896 is: 13,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.52 : 44,516.06 = 8,896 : x
  2. Step 2: Convert to fraction form
    29,672.52/44,516.06 = 8,896/x
  3. Step 3: Cross multiply
    29,672.52x = 44,516.06 × 8,896
  4. Step 4: Simplify right side
    29,672.52x = 396,014,869.76
  5. Step 5: Solve for x
    x = 396,014,869.76/29,672.52
  6. Step 6: Final answer
    x = 13,346.18

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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.