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Finding the Fourth Proportional to 29,504.64, 44,344.80 and 21,806.40

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Solution

The fourth proportional to 29,504.64, 44,344.80 and 21,806.40 is: 32,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,504.64 : 44,344.80 = 21,806.40 : x
  2. Step 2: Convert to fraction form
    29,504.64/44,344.80 = 21,806.40/x
  3. Step 3: Cross multiply
    29,504.64x = 44,344.80 × 21,806.40
  4. Step 4: Simplify right side
    29,504.64x = 967,000,446.72
  5. Step 5: Solve for x
    x = 967,000,446.72/29,504.64
  6. Step 6: Final answer
    x = 32,774.52

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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.