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Finding the Fourth Proportional to 29,730.65, 44,595.97 and 8,954.15

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Solution

The fourth proportional to 29,730.65, 44,595.97 and 8,954.15 is: 13,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730.65 : 44,595.97 = 8,954.15 : x
  2. Step 2: Convert to fraction form
    29,730.65/44,595.97 = 8,954.15/x
  3. Step 3: Cross multiply
    29,730.65x = 44,595.97 × 8,954.15
  4. Step 4: Simplify right side
    29,730.65x = 399,318,759.41
  5. Step 5: Solve for x
    x = 399,318,759.41/29,730.65
  6. Step 6: Final answer
    x = 13,431.22

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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.