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Finding the Fourth Proportional to 29,589.64, 44,384.46 and 17,269

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Solution

The fourth proportional to 29,589.64, 44,384.46 and 17,269 is: 25,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,589.64 : 44,384.46 = 17,269 : x
  2. Step 2: Convert to fraction form
    29,589.64/44,384.46 = 17,269/x
  3. Step 3: Cross multiply
    29,589.64x = 44,384.46 × 17,269
  4. Step 4: Simplify right side
    29,589.64x = 766,475,239.74
  5. Step 5: Solve for x
    x = 766,475,239.74/29,589.64
  6. Step 6: Final answer
    x = 25,903.50

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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.