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Finding the Fourth Proportional to 78,285.96, 117,446.84 and 33,920.10

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Solution

The fourth proportional to 78,285.96, 117,446.84 and 33,920.10 is: 50,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285.96 : 117,446.84 = 33,920.10 : x
  2. Step 2: Convert to fraction form
    78,285.96/117,446.84 = 33,920.10/x
  3. Step 3: Cross multiply
    78,285.96x = 117,446.84 × 33,920.10
  4. Step 4: Simplify right side
    78,285.96x = 3,983,808,055.05
  5. Step 5: Solve for x
    x = 3,983,808,055.05/78,285.96
  6. Step 6: Final answer
    x = 50,887.90

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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.