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Finding the Fourth Proportional to 75,150, 103,710.26 and 41,616

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Solution

The fourth proportional to 75,150, 103,710.26 and 41,616 is: 57,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,150 : 103,710.26 = 41,616 : x
  2. Step 2: Convert to fraction form
    75,150/103,710.26 = 41,616/x
  3. Step 3: Cross multiply
    75,150x = 103,710.26 × 41,616
  4. Step 4: Simplify right side
    75,150x = 4,316,006,180.16
  5. Step 5: Solve for x
    x = 4,316,006,180.16/75,150
  6. Step 6: Final answer
    x = 57,431.89

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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.