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Finding the Fourth Proportional to 27,461.31, 41,191.95 and 9,927.03

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Solution

The fourth proportional to 27,461.31, 41,191.95 and 9,927.03 is: 14,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.31 : 41,191.95 = 9,927.03 : x
  2. Step 2: Convert to fraction form
    27,461.31/41,191.95 = 9,927.03/x
  3. Step 3: Cross multiply
    27,461.31x = 41,191.95 × 9,927.03
  4. Step 4: Simplify right side
    27,461.31x = 408,913,915.10
  5. Step 5: Solve for x
    x = 408,913,915.10/27,461.31
  6. Step 6: Final answer
    x = 14,890.55

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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.