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Finding the Fourth Proportional to 35,512.30, 53,231.55 and 14,443.30

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Solution

The fourth proportional to 35,512.30, 53,231.55 and 14,443.30 is: 21,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512.30 : 53,231.55 = 14,443.30 : x
  2. Step 2: Convert to fraction form
    35,512.30/53,231.55 = 14,443.30/x
  3. Step 3: Cross multiply
    35,512.30x = 53,231.55 × 14,443.30
  4. Step 4: Simplify right side
    35,512.30x = 768,839,246.12
  5. Step 5: Solve for x
    x = 768,839,246.12/35,512.30
  6. Step 6: Final answer
    x = 21,649.94

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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.