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Finding the Fourth Proportional to 27,343.47, 41,014.96 and 7,622.00

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Solution

The fourth proportional to 27,343.47, 41,014.96 and 7,622.00 is: 11,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343.47 : 41,014.96 = 7,622.00 : x
  2. Step 2: Convert to fraction form
    27,343.47/41,014.96 = 7,622.00/x
  3. Step 3: Cross multiply
    27,343.47x = 41,014.96 × 7,622.00
  4. Step 4: Simplify right side
    27,343.47x = 312,615,954.80
  5. Step 5: Solve for x
    x = 312,615,954.80/27,343.47
  6. Step 6: Final answer
    x = 11,432.93

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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.