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Finding the Fourth Proportional to 78,026.66, 107,676.73 and 44,042.30

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Solution

The fourth proportional to 78,026.66, 107,676.73 and 44,042.30 is: 60,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,026.66 : 107,676.73 = 44,042.30 : x
  2. Step 2: Convert to fraction form
    78,026.66/107,676.73 = 44,042.30/x
  3. Step 3: Cross multiply
    78,026.66x = 107,676.73 × 44,042.30
  4. Step 4: Simplify right side
    78,026.66x = 4,742,330,845.68
  5. Step 5: Solve for x
    x = 4,742,330,845.68/78,026.66
  6. Step 6: Final answer
    x = 60,778.34

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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.