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Finding the Fourth Proportional to 75,126.30, 103,674.29 and 41,592.30

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Solution

The fourth proportional to 75,126.30, 103,674.29 and 41,592.30 is: 57,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,126.30 : 103,674.29 = 41,592.30 : x
  2. Step 2: Convert to fraction form
    75,126.30/103,674.29 = 41,592.30/x
  3. Step 3: Cross multiply
    75,126.30x = 103,674.29 × 41,592.30
  4. Step 4: Simplify right side
    75,126.30x = 4,312,052,171.97
  5. Step 5: Solve for x
    x = 4,312,052,171.97/75,126.30
  6. Step 6: Final answer
    x = 57,397.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.