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Finding the Fourth Proportional to 51,462.44, 77,093.77 and 37,929.01

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Solution

The fourth proportional to 51,462.44, 77,093.77 and 37,929.01 is: 56,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462.44 : 77,093.77 = 37,929.01 : x
  2. Step 2: Convert to fraction form
    51,462.44/77,093.77 = 37,929.01/x
  3. Step 3: Cross multiply
    51,462.44x = 77,093.77 × 37,929.01
  4. Step 4: Simplify right side
    51,462.44x = 2,924,090,373.27
  5. Step 5: Solve for x
    x = 2,924,090,373.27/51,462.44
  6. Step 6: Final answer
    x = 56,819.89

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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.