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Finding the Fourth Proportional to 20,101.59, 30,152.49 and 8,252.30

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Solution

The fourth proportional to 20,101.59, 30,152.49 and 8,252.30 is: 12,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.59 : 30,152.49 = 8,252.30 : x
  2. Step 2: Convert to fraction form
    20,101.59/30,152.49 = 8,252.30/x
  3. Step 3: Cross multiply
    20,101.59x = 30,152.49 × 8,252.30
  4. Step 4: Simplify right side
    20,101.59x = 248,827,242.46
  5. Step 5: Solve for x
    x = 248,827,242.46/20,101.59
  6. Step 6: Final answer
    x = 12,378.49

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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.