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Finding the Fourth Proportional to 58,380, 80,564.49 and 33,229.50

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Solution

The fourth proportional to 58,380, 80,564.49 and 33,229.50 is: 45,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,380 : 80,564.49 = 33,229.50 : x
  2. Step 2: Convert to fraction form
    58,380/80,564.49 = 33,229.50/x
  3. Step 3: Cross multiply
    58,380x = 80,564.49 × 33,229.50
  4. Step 4: Simplify right side
    58,380x = 2,677,117,720.46
  5. Step 5: Solve for x
    x = 2,677,117,720.46/58,380
  6. Step 6: Final answer
    x = 45,856.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.