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Finding the Fourth Proportional to 78,486.10, 108,310.57 and 42,676.20

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Solution

The fourth proportional to 78,486.10, 108,310.57 and 42,676.20 is: 58,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,486.10 : 108,310.57 = 42,676.20 : x
  2. Step 2: Convert to fraction form
    78,486.10/108,310.57 = 42,676.20/x
  3. Step 3: Cross multiply
    78,486.10x = 108,310.57 × 42,676.20
  4. Step 4: Simplify right side
    78,486.10x = 4,622,283,440.74
  5. Step 5: Solve for x
    x = 4,622,283,440.74/78,486.10
  6. Step 6: Final answer
    x = 58,893.02

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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.