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Finding the Fourth Proportional to 29,384.65, 44,080.04 and 9,664.74

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Solution

The fourth proportional to 29,384.65, 44,080.04 and 9,664.74 is: 14,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384.65 : 44,080.04 = 9,664.74 : x
  2. Step 2: Convert to fraction form
    29,384.65/44,080.04 = 9,664.74/x
  3. Step 3: Cross multiply
    29,384.65x = 44,080.04 × 9,664.74
  4. Step 4: Simplify right side
    29,384.65x = 426,022,163.54
  5. Step 5: Solve for x
    x = 426,022,163.54/29,384.65
  6. Step 6: Final answer
    x = 14,498.12

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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.