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Finding the Fourth Proportional to 78,090.66, 107,764.83 and 44,106.30

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Solution

The fourth proportional to 78,090.66, 107,764.83 and 44,106.30 is: 60,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090.66 : 107,764.83 = 44,106.30 : x
  2. Step 2: Convert to fraction form
    78,090.66/107,764.83 = 44,106.30/x
  3. Step 3: Cross multiply
    78,090.66x = 107,764.83 × 44,106.30
  4. Step 4: Simplify right side
    78,090.66x = 4,753,107,921.43
  5. Step 5: Solve for x
    x = 4,753,107,921.43/78,090.66
  6. Step 6: Final answer
    x = 60,866.54

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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.