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Finding the Fourth Proportional to 75,133.24, 103,684.14 and 41,599.24

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Solution

The fourth proportional to 75,133.24, 103,684.14 and 41,599.24 is: 57,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,133.24 : 103,684.14 = 41,599.24 : x
  2. Step 2: Convert to fraction form
    75,133.24/103,684.14 = 41,599.24/x
  3. Step 3: Cross multiply
    75,133.24x = 103,684.14 × 41,599.24
  4. Step 4: Simplify right side
    75,133.24x = 4,313,181,424.05
  5. Step 5: Solve for x
    x = 4,313,181,424.05/75,133.24
  6. Step 6: Final answer
    x = 57,407.10

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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.