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Finding the Fourth Proportional to 20,443, 30,485.59 and 20,256.16

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Solution

The fourth proportional to 20,443, 30,485.59 and 20,256.16 is: 30,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443 : 30,485.59 = 20,256.16 : x
  2. Step 2: Convert to fraction form
    20,443/30,485.59 = 20,256.16/x
  3. Step 3: Cross multiply
    20,443x = 30,485.59 × 20,256.16
  4. Step 4: Simplify right side
    20,443x = 617,520,988.73
  5. Step 5: Solve for x
    x = 617,520,988.73/20,443
  6. Step 6: Final answer
    x = 30,206.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.