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Finding the Fourth Proportional to 78,411.24, 117,514.80 and 33,990.84

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Solution

The fourth proportional to 78,411.24, 117,514.80 and 33,990.84 is: 50,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.24 : 117,514.80 = 33,990.84 : x
  2. Step 2: Convert to fraction form
    78,411.24/117,514.80 = 33,990.84/x
  3. Step 3: Cross multiply
    78,411.24x = 117,514.80 × 33,990.84
  4. Step 4: Simplify right side
    78,411.24x = 3,994,426,764.43
  5. Step 5: Solve for x
    x = 3,994,426,764.43/78,411.24
  6. Step 6: Final answer
    x = 50,942.02

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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.