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Finding the Fourth Proportional to 75,057.24, 103,664.03 and 51,142.40

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Solution

The fourth proportional to 75,057.24, 103,664.03 and 51,142.40 is: 70,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,057.24 : 103,664.03 = 51,142.40 : x
  2. Step 2: Convert to fraction form
    75,057.24/103,664.03 = 51,142.40/x
  3. Step 3: Cross multiply
    75,057.24x = 103,664.03 × 51,142.40
  4. Step 4: Simplify right side
    75,057.24x = 5,301,627,287.87
  5. Step 5: Solve for x
    x = 5,301,627,287.87/75,057.24
  6. Step 6: Final answer
    x = 70,634.46

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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.