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Finding the Fourth Proportional to 75,248.90, 103,844.48 and 41,257.31

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Solution

The fourth proportional to 75,248.90, 103,844.48 and 41,257.31 is: 56,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,248.90 : 103,844.48 = 41,257.31 : x
  2. Step 2: Convert to fraction form
    75,248.90/103,844.48 = 41,257.31/x
  3. Step 3: Cross multiply
    75,248.90x = 103,844.48 × 41,257.31
  4. Step 4: Simplify right side
    75,248.90x = 4,284,343,487.07
  5. Step 5: Solve for x
    x = 4,284,343,487.07/75,248.90
  6. Step 6: Final answer
    x = 56,935.63

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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.