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Finding the Fourth Proportional to 29,546.88, 44,320.71 and 9,825.44

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Solution

The fourth proportional to 29,546.88, 44,320.71 and 9,825.44 is: 14,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.88 : 44,320.71 = 9,825.44 : x
  2. Step 2: Convert to fraction form
    29,546.88/44,320.71 = 9,825.44/x
  3. Step 3: Cross multiply
    29,546.88x = 44,320.71 × 9,825.44
  4. Step 4: Simplify right side
    29,546.88x = 435,470,476.86
  5. Step 5: Solve for x
    x = 435,470,476.86/29,546.88
  6. Step 6: Final answer
    x = 14,738.29

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1.5x scale

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.