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Finding the Fourth Proportional to 27,706.59, 41,560.02 and 7,985.25

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Solution

The fourth proportional to 27,706.59, 41,560.02 and 7,985.25 is: 11,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.59 : 41,560.02 = 7,985.25 : x
  2. Step 2: Convert to fraction form
    27,706.59/41,560.02 = 7,985.25/x
  3. Step 3: Cross multiply
    27,706.59x = 41,560.02 × 7,985.25
  4. Step 4: Simplify right side
    27,706.59x = 331,867,149.71
  5. Step 5: Solve for x
    x = 331,867,149.71/27,706.59
  6. Step 6: Final answer
    x = 11,977.91

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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.