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Finding the Fourth Proportional to 69,741.90, 96,241.14 and 37,910.10

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Solution

The fourth proportional to 69,741.90, 96,241.14 and 37,910.10 is: 52,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,741.90 : 96,241.14 = 37,910.10 : x
  2. Step 2: Convert to fraction form
    69,741.90/96,241.14 = 37,910.10/x
  3. Step 3: Cross multiply
    69,741.90x = 96,241.14 × 37,910.10
  4. Step 4: Simplify right side
    69,741.90x = 3,648,511,241.51
  5. Step 5: Solve for x
    x = 3,648,511,241.51/69,741.90
  6. Step 6: Final answer
    x = 52,314.48

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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.