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Finding the Fourth Proportional to 35,840.82, 53,748.27 and 12,144.54

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Solution

The fourth proportional to 35,840.82, 53,748.27 and 12,144.54 is: 18,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.82 : 53,748.27 = 12,144.54 : x
  2. Step 2: Convert to fraction form
    35,840.82/53,748.27 = 12,144.54/x
  3. Step 3: Cross multiply
    35,840.82x = 53,748.27 × 12,144.54
  4. Step 4: Simplify right side
    35,840.82x = 652,748,014.95
  5. Step 5: Solve for x
    x = 652,748,014.95/35,840.82
  6. Step 6: Final answer
    x = 18,212.42

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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.