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Finding the Fourth Proportional to 29,063, 43,594.91 and 8,286.50

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Solution

The fourth proportional to 29,063, 43,594.91 and 8,286.50 is: 12,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,063 : 43,594.91 = 8,286.50 : x
  2. Step 2: Convert to fraction form
    29,063/43,594.91 = 8,286.50/x
  3. Step 3: Cross multiply
    29,063x = 43,594.91 × 8,286.50
  4. Step 4: Simplify right side
    29,063x = 361,249,221.72
  5. Step 5: Solve for x
    x = 361,249,221.72/29,063
  6. Step 6: Final answer
    x = 12,429.87

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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.