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Finding the Fourth Proportional to 29,098.43, 43,648.05 and 8,321.93

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Solution

The fourth proportional to 29,098.43, 43,648.05 and 8,321.93 is: 12,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.43 : 43,648.05 = 8,321.93 : x
  2. Step 2: Convert to fraction form
    29,098.43/43,648.05 = 8,321.93/x
  3. Step 3: Cross multiply
    29,098.43x = 43,648.05 × 8,321.93
  4. Step 4: Simplify right side
    29,098.43x = 363,236,016.74
  5. Step 5: Solve for x
    x = 363,236,016.74/29,098.43
  6. Step 6: Final answer
    x = 12,483.01

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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.