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Finding the Fourth Proportional to 29,859.92, 44,796.35 and 9,082.88

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Solution

The fourth proportional to 29,859.92, 44,796.35 and 9,082.88 is: 13,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,859.92 : 44,796.35 = 9,082.88 : x
  2. Step 2: Convert to fraction form
    29,859.92/44,796.35 = 9,082.88/x
  3. Step 3: Cross multiply
    29,859.92x = 44,796.35 × 9,082.88
  4. Step 4: Simplify right side
    29,859.92x = 406,879,670.21
  5. Step 5: Solve for x
    x = 406,879,670.21/29,859.92
  6. Step 6: Final answer
    x = 13,626.28

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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.