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Finding the Fourth Proportional to 33,709.74, 50,571.12 and 12,931.62

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Solution

The fourth proportional to 33,709.74, 50,571.12 and 12,931.62 is: 19,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.74 : 50,571.12 = 12,931.62 : x
  2. Step 2: Convert to fraction form
    33,709.74/50,571.12 = 12,931.62/x
  3. Step 3: Cross multiply
    33,709.74x = 50,571.12 × 12,931.62
  4. Step 4: Simplify right side
    33,709.74x = 653,966,506.81
  5. Step 5: Solve for x
    x = 653,966,506.81/33,709.74
  6. Step 6: Final answer
    x = 19,399.93

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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.