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Finding the Fourth Proportional to 29,384.90, 44,080.42 and 9,664.99

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Solution

The fourth proportional to 29,384.90, 44,080.42 and 9,664.99 is: 14,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384.90 : 44,080.42 = 9,664.99 : x
  2. Step 2: Convert to fraction form
    29,384.90/44,080.42 = 9,664.99/x
  3. Step 3: Cross multiply
    29,384.90x = 44,080.42 × 9,664.99
  4. Step 4: Simplify right side
    29,384.90x = 426,036,818.50
  5. Step 5: Solve for x
    x = 426,036,818.50/29,384.90
  6. Step 6: Final answer
    x = 14,498.50

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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.