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Finding the Fourth Proportional to 32,026.20, 47,978.10 and 17,230.20

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Solution

The fourth proportional to 32,026.20, 47,978.10 and 17,230.20 is: 25,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026.20 : 47,978.10 = 17,230.20 : x
  2. Step 2: Convert to fraction form
    32,026.20/47,978.10 = 17,230.20/x
  3. Step 3: Cross multiply
    32,026.20x = 47,978.10 × 17,230.20
  4. Step 4: Simplify right side
    32,026.20x = 826,672,258.62
  5. Step 5: Solve for x
    x = 826,672,258.62/32,026.20
  6. Step 6: Final answer
    x = 25,812.37

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1.5x scale

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.