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Finding the Fourth Proportional to 78,111.84, 117,173.22 and 31,364.73

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Solution

The fourth proportional to 78,111.84, 117,173.22 and 31,364.73 is: 47,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,111.84 : 117,173.22 = 31,364.73 : x
  2. Step 2: Convert to fraction form
    78,111.84/117,173.22 = 31,364.73/x
  3. Step 3: Cross multiply
    78,111.84x = 117,173.22 × 31,364.73
  4. Step 4: Simplify right side
    78,111.84x = 3,675,106,408.53
  5. Step 5: Solve for x
    x = 3,675,106,408.53/78,111.84
  6. Step 6: Final answer
    x = 47,049.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.