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Finding the Fourth Proportional to 75,302.64, 103,918.41 and 41,311.17

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Solution

The fourth proportional to 75,302.64, 103,918.41 and 41,311.17 is: 57,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,302.64 : 103,918.41 = 41,311.17 : x
  2. Step 2: Convert to fraction form
    75,302.64/103,918.41 = 41,311.17/x
  3. Step 3: Cross multiply
    75,302.64x = 103,918.41 × 41,311.17
  4. Step 4: Simplify right side
    75,302.64x = 4,292,991,101.64
  5. Step 5: Solve for x
    x = 4,292,991,101.64/75,302.64
  6. Step 6: Final answer
    x = 57,009.84

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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.