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Finding the Fourth Proportional to 27,137.72, 40,701.17 and 7,411.59

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Solution

The fourth proportional to 27,137.72, 40,701.17 and 7,411.59 is: 11,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.72 : 40,701.17 = 7,411.59 : x
  2. Step 2: Convert to fraction form
    27,137.72/40,701.17 = 7,411.59/x
  3. Step 3: Cross multiply
    27,137.72x = 40,701.17 × 7,411.59
  4. Step 4: Simplify right side
    27,137.72x = 301,660,347.50
  5. Step 5: Solve for x
    x = 301,660,347.50/27,137.72
  6. Step 6: Final answer
    x = 11,115.91

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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.