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Finding the Fourth Proportional to 52,453.98, 78,602.40 and 22,855.77

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Solution

The fourth proportional to 52,453.98, 78,602.40 and 22,855.77 is: 34,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.98 : 78,602.40 = 22,855.77 : x
  2. Step 2: Convert to fraction form
    52,453.98/78,602.40 = 22,855.77/x
  3. Step 3: Cross multiply
    52,453.98x = 78,602.40 × 22,855.77
  4. Step 4: Simplify right side
    52,453.98x = 1,796,518,375.85
  5. Step 5: Solve for x
    x = 1,796,518,375.85/52,453.98
  6. Step 6: Final answer
    x = 34,249.42

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1.5x scale

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.