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Finding the Fourth Proportional to 29,513.50, 44,278.90 and 9,522.59

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Solution

The fourth proportional to 29,513.50, 44,278.90 and 9,522.59 is: 14,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,513.50 : 44,278.90 = 9,522.59 : x
  2. Step 2: Convert to fraction form
    29,513.50/44,278.90 = 9,522.59/x
  3. Step 3: Cross multiply
    29,513.50x = 44,278.90 × 9,522.59
  4. Step 4: Simplify right side
    29,513.50x = 421,649,810.35
  5. Step 5: Solve for x
    x = 421,649,810.35/29,513.50
  6. Step 6: Final answer
    x = 14,286.68

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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.