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Finding the Fourth Proportional to 75,032.25, 103,546.43 and 45,226.17

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Solution

The fourth proportional to 75,032.25, 103,546.43 and 45,226.17 is: 62,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,032.25 : 103,546.43 = 45,226.17 : x
  2. Step 2: Convert to fraction form
    75,032.25/103,546.43 = 45,226.17/x
  3. Step 3: Cross multiply
    75,032.25x = 103,546.43 × 45,226.17
  4. Step 4: Simplify right side
    75,032.25x = 4,683,008,219.94
  5. Step 5: Solve for x
    x = 4,683,008,219.94/75,032.25
  6. Step 6: Final answer
    x = 62,413.27

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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.