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Finding the Fourth Proportional to 33,099.34, 49,649.02 and 9,725.78

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Solution

The fourth proportional to 33,099.34, 49,649.02 and 9,725.78 is: 14,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.34 : 49,649.02 = 9,725.78 : x
  2. Step 2: Convert to fraction form
    33,099.34/49,649.02 = 9,725.78/x
  3. Step 3: Cross multiply
    33,099.34x = 49,649.02 × 9,725.78
  4. Step 4: Simplify right side
    33,099.34x = 482,875,445.74
  5. Step 5: Solve for x
    x = 482,875,445.74/33,099.34
  6. Step 6: Final answer
    x = 14,588.67

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1.5x scale

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.