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Finding the Fourth Proportional to 29,740.81, 44,611.25 and 8,964.31

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Solution

The fourth proportional to 29,740.81, 44,611.25 and 8,964.31 is: 13,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740.81 : 44,611.25 = 8,964.31 : x
  2. Step 2: Convert to fraction form
    29,740.81/44,611.25 = 8,964.31/x
  3. Step 3: Cross multiply
    29,740.81x = 44,611.25 × 8,964.31
  4. Step 4: Simplify right side
    29,740.81x = 399,909,074.49
  5. Step 5: Solve for x
    x = 399,909,074.49/29,740.81
  6. Step 6: Final answer
    x = 13,446.48

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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.