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Finding the Fourth Proportional to 52,321.57, 78,396.09 and 30,153.58

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Solution

The fourth proportional to 52,321.57, 78,396.09 and 30,153.58 is: 45,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,321.57 : 78,396.09 = 30,153.58 : x
  2. Step 2: Convert to fraction form
    52,321.57/78,396.09 = 30,153.58/x
  3. Step 3: Cross multiply
    52,321.57x = 78,396.09 × 30,153.58
  4. Step 4: Simplify right side
    52,321.57x = 2,363,922,771.50
  5. Step 5: Solve for x
    x = 2,363,922,771.50/52,321.57
  6. Step 6: Final answer
    x = 45,180.65

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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.