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Finding the Fourth Proportional to 29,204.16, 43,792 and 14,408.16

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Solution

The fourth proportional to 29,204.16, 43,792 and 14,408.16 is: 21,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,204.16 : 43,792 = 14,408.16 : x
  2. Step 2: Convert to fraction form
    29,204.16/43,792 = 14,408.16/x
  3. Step 3: Cross multiply
    29,204.16x = 43,792 × 14,408.16
  4. Step 4: Simplify right side
    29,204.16x = 630,962,142.72
  5. Step 5: Solve for x
    x = 630,962,142.72/29,204.16
  6. Step 6: Final answer
    x = 21,605.21

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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.