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Finding the Fourth Proportional to 32,410.60, 48,539.10 and 21,965.80

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Solution

The fourth proportional to 32,410.60, 48,539.10 and 21,965.80 is: 32,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.60 : 48,539.10 = 21,965.80 : x
  2. Step 2: Convert to fraction form
    32,410.60/48,539.10 = 21,965.80/x
  3. Step 3: Cross multiply
    32,410.60x = 48,539.10 × 21,965.80
  4. Step 4: Simplify right side
    32,410.60x = 1,066,200,162.78
  5. Step 5: Solve for x
    x = 1,066,200,162.78/32,410.60
  6. Step 6: Final answer
    x = 32,896.65

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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.