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Finding the Fourth Proportional to 29,307, 43,965.96 and 9,586.62

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Solution

The fourth proportional to 29,307, 43,965.96 and 9,586.62 is: 14,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307 : 43,965.96 = 9,586.62 : x
  2. Step 2: Convert to fraction form
    29,307/43,965.96 = 9,586.62/x
  3. Step 3: Cross multiply
    29,307x = 43,965.96 × 9,586.62
  4. Step 4: Simplify right side
    29,307x = 421,484,951.46
  5. Step 5: Solve for x
    x = 421,484,951.46/29,307
  6. Step 6: Final answer
    x = 14,381.72

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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.