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Finding the Fourth Proportional to 52,205.68, 78,153 and 50,339.44

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Solution

The fourth proportional to 52,205.68, 78,153 and 50,339.44 is: 75,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.68 : 78,153 = 50,339.44 : x
  2. Step 2: Convert to fraction form
    52,205.68/78,153 = 50,339.44/x
  3. Step 3: Cross multiply
    52,205.68x = 78,153 × 50,339.44
  4. Step 4: Simplify right side
    52,205.68x = 3,934,178,254.32
  5. Step 5: Solve for x
    x = 3,934,178,254.32/52,205.68
  6. Step 6: Final answer
    x = 75,359.20

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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.