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Finding the Fourth Proportional to 27,422.46, 41,140.98 and 8,703

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Solution

The fourth proportional to 27,422.46, 41,140.98 and 8,703 is: 13,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.46 : 41,140.98 = 8,703 : x
  2. Step 2: Convert to fraction form
    27,422.46/41,140.98 = 8,703/x
  3. Step 3: Cross multiply
    27,422.46x = 41,140.98 × 8,703
  4. Step 4: Simplify right side
    27,422.46x = 358,049,948.94
  5. Step 5: Solve for x
    x = 358,049,948.94/27,422.46
  6. Step 6: Final answer
    x = 13,056.81

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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.