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Finding the Fourth Proportional to 35,835.67, 53,754.45 and 9,540.46

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Solution

The fourth proportional to 35,835.67, 53,754.45 and 9,540.46 is: 14,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,835.67 : 53,754.45 = 9,540.46 : x
  2. Step 2: Convert to fraction form
    35,835.67/53,754.45 = 9,540.46/x
  3. Step 3: Cross multiply
    35,835.67x = 53,754.45 × 9,540.46
  4. Step 4: Simplify right side
    35,835.67x = 512,842,180.05
  5. Step 5: Solve for x
    x = 512,842,180.05/35,835.67
  6. Step 6: Final answer
    x = 14,310.94

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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.