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Finding the Fourth Proportional to 29,705.76, 44,559.45 and 8,644.95

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Solution

The fourth proportional to 29,705.76, 44,559.45 and 8,644.95 is: 12,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.76 : 44,559.45 = 8,644.95 : x
  2. Step 2: Convert to fraction form
    29,705.76/44,559.45 = 8,644.95/x
  3. Step 3: Cross multiply
    29,705.76x = 44,559.45 × 8,644.95
  4. Step 4: Simplify right side
    29,705.76x = 385,214,217.28
  5. Step 5: Solve for x
    x = 385,214,217.28/29,705.76
  6. Step 6: Final answer
    x = 12,967.66

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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.