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Finding the Fourth Proportional to 71,038.86, 106,546.62 and 28,917.24

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Solution

The fourth proportional to 71,038.86, 106,546.62 and 28,917.24 is: 43,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,038.86 : 106,546.62 = 28,917.24 : x
  2. Step 2: Convert to fraction form
    71,038.86/106,546.62 = 28,917.24/x
  3. Step 3: Cross multiply
    71,038.86x = 106,546.62 × 28,917.24
  4. Step 4: Simplify right side
    71,038.86x = 3,081,034,181.73
  5. Step 5: Solve for x
    x = 3,081,034,181.73/71,038.86
  6. Step 6: Final answer
    x = 43,371.11

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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.