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Finding the Fourth Proportional to 29,098.52, 43,646.90 and 8,039.82

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Solution

The fourth proportional to 29,098.52, 43,646.90 and 8,039.82 is: 12,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.52 : 43,646.90 = 8,039.82 : x
  2. Step 2: Convert to fraction form
    29,098.52/43,646.90 = 8,039.82/x
  3. Step 3: Cross multiply
    29,098.52x = 43,646.90 × 8,039.82
  4. Step 4: Simplify right side
    29,098.52x = 350,913,179.36
  5. Step 5: Solve for x
    x = 350,913,179.36/29,098.52
  6. Step 6: Final answer
    x = 12,059.49

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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.