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Finding the Fourth Proportional to 51,462.57, 77,093.96 and 37,929.14

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Solution

The fourth proportional to 51,462.57, 77,093.96 and 37,929.14 is: 56,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462.57 : 77,093.96 = 37,929.14 : x
  2. Step 2: Convert to fraction form
    51,462.57/77,093.96 = 37,929.14/x
  3. Step 3: Cross multiply
    51,462.57x = 77,093.96 × 37,929.14
  4. Step 4: Simplify right side
    51,462.57x = 2,924,107,889.55
  5. Step 5: Solve for x
    x = 2,924,107,889.55/51,462.57
  6. Step 6: Final answer
    x = 56,820.09

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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.