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Finding the Fourth Proportional to 75,142.52, 103,696.64 and 41,608.52

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Solution

The fourth proportional to 75,142.52, 103,696.64 and 41,608.52 is: 57,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.52 : 103,696.64 = 41,608.52 : x
  2. Step 2: Convert to fraction form
    75,142.52/103,696.64 = 41,608.52/x
  3. Step 3: Cross multiply
    75,142.52x = 103,696.64 × 41,608.52
  4. Step 4: Simplify right side
    75,142.52x = 4,314,663,719.37
  5. Step 5: Solve for x
    x = 4,314,663,719.37/75,142.52
  6. Step 6: Final answer
    x = 57,419.74

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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.