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Finding the Fourth Proportional to 75,360, 103,996.80 and 41,826.24

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Solution

The fourth proportional to 75,360, 103,996.80 and 41,826.24 is: 57,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360 : 103,996.80 = 41,826.24 : x
  2. Step 2: Convert to fraction form
    75,360/103,996.80 = 41,826.24/x
  3. Step 3: Cross multiply
    75,360x = 103,996.80 × 41,826.24
  4. Step 4: Simplify right side
    75,360x = 4,349,795,116.03
  5. Step 5: Solve for x
    x = 4,349,795,116.03/75,360
  6. Step 6: Final answer
    x = 57,720.21

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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.