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Finding the Fourth Proportional to 29,584.64, 44,376.72 and 7,397.88

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Solution

The fourth proportional to 29,584.64, 44,376.72 and 7,397.88 is: 11,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.64 : 44,376.72 = 7,397.88 : x
  2. Step 2: Convert to fraction form
    29,584.64/44,376.72 = 7,397.88/x
  3. Step 3: Cross multiply
    29,584.64x = 44,376.72 × 7,397.88
  4. Step 4: Simplify right side
    29,584.64x = 328,293,649.35
  5. Step 5: Solve for x
    x = 328,293,649.35/29,584.64
  6. Step 6: Final answer
    x = 11,096.76

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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.