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Finding the Fourth Proportional to 51,881.78, 77,697.92 and 29,627.71

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Solution

The fourth proportional to 51,881.78, 77,697.92 and 29,627.71 is: 44,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,881.78 : 77,697.92 = 29,627.71 : x
  2. Step 2: Convert to fraction form
    51,881.78/77,697.92 = 29,627.71/x
  3. Step 3: Cross multiply
    51,881.78x = 77,697.92 × 29,627.71
  4. Step 4: Simplify right side
    51,881.78x = 2,302,011,321.19
  5. Step 5: Solve for x
    x = 2,302,011,321.19/51,881.78
  6. Step 6: Final answer
    x = 44,370.32

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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.