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Finding the Fourth Proportional to 51,486.52, 77,241.10 and 29,310.28

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Solution

The fourth proportional to 51,486.52, 77,241.10 and 29,310.28 is: 43,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,486.52 : 77,241.10 = 29,310.28 : x
  2. Step 2: Convert to fraction form
    51,486.52/77,241.10 = 29,310.28/x
  3. Step 3: Cross multiply
    51,486.52x = 77,241.10 × 29,310.28
  4. Step 4: Simplify right side
    51,486.52x = 2,263,958,268.51
  5. Step 5: Solve for x
    x = 2,263,958,268.51/51,486.52
  6. Step 6: Final answer
    x = 43,971.86

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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.