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Finding the Fourth Proportional to 75,243.68, 103,832.24 and 43,410.72

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Solution

The fourth proportional to 75,243.68, 103,832.24 and 43,410.72 is: 59,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,243.68 : 103,832.24 = 43,410.72 : x
  2. Step 2: Convert to fraction form
    75,243.68/103,832.24 = 43,410.72/x
  3. Step 3: Cross multiply
    75,243.68x = 103,832.24 × 43,410.72
  4. Step 4: Simplify right side
    75,243.68x = 4,507,432,297.61
  5. Step 5: Solve for x
    x = 4,507,432,297.61/75,243.68
  6. Step 6: Final answer
    x = 59,904.46

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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.