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Finding the Fourth Proportional to 33,475.17, 50,211.54 and 10,101

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Solution

The fourth proportional to 33,475.17, 50,211.54 and 10,101 is: 15,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,475.17 : 50,211.54 = 10,101 : x
  2. Step 2: Convert to fraction form
    33,475.17/50,211.54 = 10,101/x
  3. Step 3: Cross multiply
    33,475.17x = 50,211.54 × 10,101
  4. Step 4: Simplify right side
    33,475.17x = 507,186,765.54
  5. Step 5: Solve for x
    x = 507,186,765.54/33,475.17
  6. Step 6: Final answer
    x = 15,151.13

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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.