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Finding the Fourth Proportional to 52,091.70, 78,138.70 and 36,065.44

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Solution

The fourth proportional to 52,091.70, 78,138.70 and 36,065.44 is: 54,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,091.70 : 78,138.70 = 36,065.44 : x
  2. Step 2: Convert to fraction form
    52,091.70/78,138.70 = 36,065.44/x
  3. Step 3: Cross multiply
    52,091.70x = 78,138.70 × 36,065.44
  4. Step 4: Simplify right side
    52,091.70x = 2,818,106,416.20
  5. Step 5: Solve for x
    x = 2,818,106,416.20/52,091.70
  6. Step 6: Final answer
    x = 54,098.96

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Why These Related Problems?

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