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Finding the Fourth Proportional to 29,823.66, 44,735.22 and 14,193.90

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Solution

The fourth proportional to 29,823.66, 44,735.22 and 14,193.90 is: 21,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823.66 : 44,735.22 = 14,193.90 : x
  2. Step 2: Convert to fraction form
    29,823.66/44,735.22 = 14,193.90/x
  3. Step 3: Cross multiply
    29,823.66x = 44,735.22 × 14,193.90
  4. Step 4: Simplify right side
    29,823.66x = 634,967,239.16
  5. Step 5: Solve for x
    x = 634,967,239.16/29,823.66
  6. Step 6: Final answer
    x = 21,290.72

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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.