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Finding the Fourth Proportional to 35,512.50, 53,269.17 and 9,215.64

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Solution

The fourth proportional to 35,512.50, 53,269.17 and 9,215.64 is: 13,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512.50 : 53,269.17 = 9,215.64 : x
  2. Step 2: Convert to fraction form
    35,512.50/53,269.17 = 9,215.64/x
  3. Step 3: Cross multiply
    35,512.50x = 53,269.17 × 9,215.64
  4. Step 4: Simplify right side
    35,512.50x = 490,909,493.82
  5. Step 5: Solve for x
    x = 490,909,493.82/35,512.50
  6. Step 6: Final answer
    x = 13,823.57

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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.