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Finding the Fourth Proportional to 51,580.44, 77,344.74 and 23,897.88

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Solution

The fourth proportional to 51,580.44, 77,344.74 and 23,897.88 is: 35,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,580.44 : 77,344.74 = 23,897.88 : x
  2. Step 2: Convert to fraction form
    51,580.44/77,344.74 = 23,897.88/x
  3. Step 3: Cross multiply
    51,580.44x = 77,344.74 × 23,897.88
  4. Step 4: Simplify right side
    51,580.44x = 1,848,375,315.15
  5. Step 5: Solve for x
    x = 1,848,375,315.15/51,580.44
  6. Step 6: Final answer
    x = 35,834.81

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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.