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Finding the Fourth Proportional to 84,408.19, 116,506.34 and 52,558.27

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Solution

The fourth proportional to 84,408.19, 116,506.34 and 52,558.27 is: 72,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,408.19 : 116,506.34 = 52,558.27 : x
  2. Step 2: Convert to fraction form
    84,408.19/116,506.34 = 52,558.27/x
  3. Step 3: Cross multiply
    84,408.19x = 116,506.34 × 52,558.27
  4. Step 4: Simplify right side
    84,408.19x = 6,123,371,674.43
  5. Step 5: Solve for x
    x = 6,123,371,674.43/84,408.19
  6. Step 6: Final answer
    x = 72,544.76

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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.