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Finding the Fourth Proportional to 75,102.14, 103,633.92 and 44,881.46

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Solution

The fourth proportional to 75,102.14, 103,633.92 and 44,881.46 is: 61,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.14 : 103,633.92 = 44,881.46 : x
  2. Step 2: Convert to fraction form
    75,102.14/103,633.92 = 44,881.46/x
  3. Step 3: Cross multiply
    75,102.14x = 103,633.92 × 44,881.46
  4. Step 4: Simplify right side
    75,102.14x = 4,651,241,635.12
  5. Step 5: Solve for x
    x = 4,651,241,635.12/75,102.14
  6. Step 6: Final answer
    x = 61,932.21

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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.