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Finding the Fourth Proportional to 75,069.92, 103,598 and 41,536.48

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Solution

The fourth proportional to 75,069.92, 103,598 and 41,536.48 is: 57,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,069.92 : 103,598 = 41,536.48 : x
  2. Step 2: Convert to fraction form
    75,069.92/103,598 = 41,536.48/x
  3. Step 3: Cross multiply
    75,069.92x = 103,598 × 41,536.48
  4. Step 4: Simplify right side
    75,069.92x = 4,303,096,255.04
  5. Step 5: Solve for x
    x = 4,303,096,255.04/75,069.92
  6. Step 6: Final answer
    x = 57,321.18

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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.