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Finding the Fourth Proportional to 75,070.92, 103,599.38 and 41,537.48

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Solution

The fourth proportional to 75,070.92, 103,599.38 and 41,537.48 is: 57,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,070.92 : 103,599.38 = 41,537.48 : x
  2. Step 2: Convert to fraction form
    75,070.92/103,599.38 = 41,537.48/x
  3. Step 3: Cross multiply
    75,070.92x = 103,599.38 × 41,537.48
  4. Step 4: Simplify right side
    75,070.92x = 4,303,257,174.76
  5. Step 5: Solve for x
    x = 4,303,257,174.76/75,070.92
  6. Step 6: Final answer
    x = 57,322.56

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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.