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Finding the Fourth Proportional to 32,583.64, 48,841.26 and 13,859.32

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Solution

The fourth proportional to 32,583.64, 48,841.26 and 13,859.32 is: 20,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.64 : 48,841.26 = 13,859.32 : x
  2. Step 2: Convert to fraction form
    32,583.64/48,841.26 = 13,859.32/x
  3. Step 3: Cross multiply
    32,583.64x = 48,841.26 × 13,859.32
  4. Step 4: Simplify right side
    32,583.64x = 676,906,651.54
  5. Step 5: Solve for x
    x = 676,906,651.54/32,583.64
  6. Step 6: Final answer
    x = 20,774.43

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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.