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Finding the Fourth Proportional to 33,518, 50,283.12 and 13,785.84

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Solution

The fourth proportional to 33,518, 50,283.12 and 13,785.84 is: 20,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,518 : 50,283.12 = 13,785.84 : x
  2. Step 2: Convert to fraction form
    33,518/50,283.12 = 13,785.84/x
  3. Step 3: Cross multiply
    33,518x = 50,283.12 × 13,785.84
  4. Step 4: Simplify right side
    33,518x = 693,195,047.02
  5. Step 5: Solve for x
    x = 693,195,047.02/33,518
  6. Step 6: Final answer
    x = 20,681.28

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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.