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Finding the Fourth Proportional to 55,367.78, 76,404.84 and 31,167.32

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Solution

The fourth proportional to 55,367.78, 76,404.84 and 31,167.32 is: 43,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,367.78 : 76,404.84 = 31,167.32 : x
  2. Step 2: Convert to fraction form
    55,367.78/76,404.84 = 31,167.32/x
  3. Step 3: Cross multiply
    55,367.78x = 76,404.84 × 31,167.32
  4. Step 4: Simplify right side
    55,367.78x = 2,381,334,097.83
  5. Step 5: Solve for x
    x = 2,381,334,097.83/55,367.78
  6. Step 6: Final answer
    x = 43,009.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.