Home / 32,296.32-48,435.84-13,824

Finding the Fourth Proportional to 32,296.32, 48,435.84 and 13,824

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Solution

The fourth proportional to 32,296.32, 48,435.84 and 13,824 is: 20,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.32 : 48,435.84 = 13,824 : x
  2. Step 2: Convert to fraction form
    32,296.32/48,435.84 = 13,824/x
  3. Step 3: Cross multiply
    32,296.32x = 48,435.84 × 13,824
  4. Step 4: Simplify right side
    32,296.32x = 669,577,052.16
  5. Step 5: Solve for x
    x = 669,577,052.16/32,296.32
  6. Step 6: Final answer
    x = 20,732.30

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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.