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Finding the Fourth Proportional to 75,269.98, 103,877.19 and 41,735.98

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Solution

The fourth proportional to 75,269.98, 103,877.19 and 41,735.98 is: 57,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,269.98 : 103,877.19 = 41,735.98 : x
  2. Step 2: Convert to fraction form
    75,269.98/103,877.19 = 41,735.98/x
  3. Step 3: Cross multiply
    75,269.98x = 103,877.19 × 41,735.98
  4. Step 4: Simplify right side
    75,269.98x = 4,335,416,324.30
  5. Step 5: Solve for x
    x = 4,335,416,324.30/75,269.98
  6. Step 6: Final answer
    x = 57,598.21

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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.