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Finding the Fourth Proportional to 52,137.70, 78,205.07 and 25,113.94

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Solution

The fourth proportional to 52,137.70, 78,205.07 and 25,113.94 is: 37,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,137.70 : 78,205.07 = 25,113.94 : x
  2. Step 2: Convert to fraction form
    52,137.70/78,205.07 = 25,113.94/x
  3. Step 3: Cross multiply
    52,137.70x = 78,205.07 × 25,113.94
  4. Step 4: Simplify right side
    52,137.70x = 1,964,037,435.68
  5. Step 5: Solve for x
    x = 1,964,037,435.68/52,137.70
  6. Step 6: Final answer
    x = 37,670.20

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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.