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Finding the Fourth Proportional to 33,482.70, 50,222.76 and 10,108.50

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Solution

The fourth proportional to 33,482.70, 50,222.76 and 10,108.50 is: 15,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,482.70 : 50,222.76 = 10,108.50 : x
  2. Step 2: Convert to fraction form
    33,482.70/50,222.76 = 10,108.50/x
  3. Step 3: Cross multiply
    33,482.70x = 50,222.76 × 10,108.50
  4. Step 4: Simplify right side
    33,482.70x = 507,676,769.46
  5. Step 5: Solve for x
    x = 507,676,769.46/33,482.70
  6. Step 6: Final answer
    x = 15,162.36

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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.