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Finding the Fourth Proportional to 75,182, 103,751.16 and 41,650.16

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Solution

The fourth proportional to 75,182, 103,751.16 and 41,650.16 is: 57,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,182 : 103,751.16 = 41,650.16 : x
  2. Step 2: Convert to fraction form
    75,182/103,751.16 = 41,650.16/x
  3. Step 3: Cross multiply
    75,182x = 103,751.16 × 41,650.16
  4. Step 4: Simplify right side
    75,182x = 4,321,252,414.19
  5. Step 5: Solve for x
    x = 4,321,252,414.19/75,182
  6. Step 6: Final answer
    x = 57,477.22

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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.