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Finding the Fourth Proportional to 29,310.32, 43,969.12 and 9,583.58

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Solution

The fourth proportional to 29,310.32, 43,969.12 and 9,583.58 is: 14,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,310.32 : 43,969.12 = 9,583.58 : x
  2. Step 2: Convert to fraction form
    29,310.32/43,969.12 = 9,583.58/x
  3. Step 3: Cross multiply
    29,310.32x = 43,969.12 × 9,583.58
  4. Step 4: Simplify right side
    29,310.32x = 421,381,579.05
  5. Step 5: Solve for x
    x = 421,381,579.05/29,310.32
  6. Step 6: Final answer
    x = 14,376.56

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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.