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Finding the Fourth Proportional to 29,449.36, 44,164.62 and 9,724.24

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Solution

The fourth proportional to 29,449.36, 44,164.62 and 9,724.24 is: 14,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,449.36 : 44,164.62 = 9,724.24 : x
  2. Step 2: Convert to fraction form
    29,449.36/44,164.62 = 9,724.24/x
  3. Step 3: Cross multiply
    29,449.36x = 44,164.62 × 9,724.24
  4. Step 4: Simplify right side
    29,449.36x = 429,467,364.39
  5. Step 5: Solve for x
    x = 429,467,364.39/29,449.36
  6. Step 6: Final answer
    x = 14,583.25

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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.