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Finding the Fourth Proportional to 20,730.52, 31,073.18 and 10,179.59

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Solution

The fourth proportional to 20,730.52, 31,073.18 and 10,179.59 is: 15,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.52 : 31,073.18 = 10,179.59 : x
  2. Step 2: Convert to fraction form
    20,730.52/31,073.18 = 10,179.59/x
  3. Step 3: Cross multiply
    20,730.52x = 31,073.18 × 10,179.59
  4. Step 4: Simplify right side
    20,730.52x = 316,312,181.50
  5. Step 5: Solve for x
    x = 316,312,181.50/20,730.52
  6. Step 6: Final answer
    x = 15,258.29

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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.