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Finding the Fourth Proportional to 29,684.32, 44,522.12 and 11,212

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Solution

The fourth proportional to 29,684.32, 44,522.12 and 11,212 is: 16,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.32 : 44,522.12 = 11,212 : x
  2. Step 2: Convert to fraction form
    29,684.32/44,522.12 = 11,212/x
  3. Step 3: Cross multiply
    29,684.32x = 44,522.12 × 11,212
  4. Step 4: Simplify right side
    29,684.32x = 499,182,009.44
  5. Step 5: Solve for x
    x = 499,182,009.44/29,684.32
  6. Step 6: Final answer
    x = 16,816.35

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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.