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Finding the Fourth Proportional to 75,277.90, 103,883.50 and 41,743.90

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Solution

The fourth proportional to 75,277.90, 103,883.50 and 41,743.90 is: 57,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,277.90 : 103,883.50 = 41,743.90 : x
  2. Step 2: Convert to fraction form
    75,277.90/103,883.50 = 41,743.90/x
  3. Step 3: Cross multiply
    75,277.90x = 103,883.50 × 41,743.90
  4. Step 4: Simplify right side
    75,277.90x = 4,336,502,617.68
  5. Step 5: Solve for x
    x = 4,336,502,617.68/75,277.90
  6. Step 6: Final answer
    x = 57,606.58

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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.