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Finding the Fourth Proportional to 29,608.90, 44,416.32 and 8,549.47

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Solution

The fourth proportional to 29,608.90, 44,416.32 and 8,549.47 is: 12,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,608.90 : 44,416.32 = 8,549.47 : x
  2. Step 2: Convert to fraction form
    29,608.90/44,416.32 = 8,549.47/x
  3. Step 3: Cross multiply
    29,608.90x = 44,416.32 × 8,549.47
  4. Step 4: Simplify right side
    29,608.90x = 379,735,995.35
  5. Step 5: Solve for x
    x = 379,735,995.35/29,608.90
  6. Step 6: Final answer
    x = 12,825.06

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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.