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Finding the Fourth Proportional to 52,847.78, 79,284.87 and 37,295.78

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Solution

The fourth proportional to 52,847.78, 79,284.87 and 37,295.78 is: 55,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,847.78 : 79,284.87 = 37,295.78 : x
  2. Step 2: Convert to fraction form
    52,847.78/79,284.87 = 37,295.78/x
  3. Step 3: Cross multiply
    52,847.78x = 79,284.87 × 37,295.78
  4. Step 4: Simplify right side
    52,847.78x = 2,956,991,068.85
  5. Step 5: Solve for x
    x = 2,956,991,068.85/52,847.78
  6. Step 6: Final answer
    x = 55,952.99

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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.