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Finding the Fourth Proportional to 27,483.26, 41,224.98 and 6,706.76

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Solution

The fourth proportional to 27,483.26, 41,224.98 and 6,706.76 is: 10,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,483.26 : 41,224.98 = 6,706.76 : x
  2. Step 2: Convert to fraction form
    27,483.26/41,224.98 = 6,706.76/x
  3. Step 3: Cross multiply
    27,483.26x = 41,224.98 × 6,706.76
  4. Step 4: Simplify right side
    27,483.26x = 276,485,840.74
  5. Step 5: Solve for x
    x = 276,485,840.74/27,483.26
  6. Step 6: Final answer
    x = 10,060.16

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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.