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Finding the Fourth Proportional to 75,168.30, 103,682.31 and 48,344.76

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Solution

The fourth proportional to 75,168.30, 103,682.31 and 48,344.76 is: 66,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,168.30 : 103,682.31 = 48,344.76 : x
  2. Step 2: Convert to fraction form
    75,168.30/103,682.31 = 48,344.76/x
  3. Step 3: Cross multiply
    75,168.30x = 103,682.31 × 48,344.76
  4. Step 4: Simplify right side
    75,168.30x = 5,012,496,393.20
  5. Step 5: Solve for x
    x = 5,012,496,393.20/75,168.30
  6. Step 6: Final answer
    x = 66,683.65

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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.