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Finding the Fourth Proportional to 52,285, 78,447.34 and 24,218.50

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Solution

The fourth proportional to 52,285, 78,447.34 and 24,218.50 is: 36,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,285 : 78,447.34 = 24,218.50 : x
  2. Step 2: Convert to fraction form
    52,285/78,447.34 = 24,218.50/x
  3. Step 3: Cross multiply
    52,285x = 78,447.34 × 24,218.50
  4. Step 4: Simplify right side
    52,285x = 1,899,876,903.79
  5. Step 5: Solve for x
    x = 1,899,876,903.79/52,285
  6. Step 6: Final answer
    x = 36,336.94

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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.