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Finding the Fourth Proportional to 52,120.44, 78,168.69 and 31,066.44

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Solution

The fourth proportional to 52,120.44, 78,168.69 and 31,066.44 is: 46,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,120.44 : 78,168.69 = 31,066.44 : x
  2. Step 2: Convert to fraction form
    52,120.44/78,168.69 = 31,066.44/x
  3. Step 3: Cross multiply
    52,120.44x = 78,168.69 × 31,066.44
  4. Step 4: Simplify right side
    52,120.44x = 2,428,422,917.76
  5. Step 5: Solve for x
    x = 2,428,422,917.76/52,120.44
  6. Step 6: Final answer
    x = 46,592.53

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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.