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Finding the Fourth Proportional to 29,695.32, 44,538.66 and 11,223

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Solution

The fourth proportional to 29,695.32, 44,538.66 and 11,223 is: 16,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695.32 : 44,538.66 = 11,223 : x
  2. Step 2: Convert to fraction form
    29,695.32/44,538.66 = 11,223/x
  3. Step 3: Cross multiply
    29,695.32x = 44,538.66 × 11,223
  4. Step 4: Simplify right side
    29,695.32x = 499,857,381.18
  5. Step 5: Solve for x
    x = 499,857,381.18/29,695.32
  6. Step 6: Final answer
    x = 16,832.87

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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.