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Finding the Fourth Proportional to 52,236, 78,288.30 and 37,473.84

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Solution

The fourth proportional to 52,236, 78,288.30 and 37,473.84 is: 56,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,236 : 78,288.30 = 37,473.84 : x
  2. Step 2: Convert to fraction form
    52,236/78,288.30 = 37,473.84/x
  3. Step 3: Cross multiply
    52,236x = 78,288.30 × 37,473.84
  4. Step 4: Simplify right side
    52,236x = 2,933,763,228.07
  5. Step 5: Solve for x
    x = 2,933,763,228.07/52,236
  6. Step 6: Final answer
    x = 56,163.63

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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.