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Finding the Fourth Proportional to 35,909.82, 53,840.43 and 12,523.50

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Solution

The fourth proportional to 35,909.82, 53,840.43 and 12,523.50 is: 18,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909.82 : 53,840.43 = 12,523.50 : x
  2. Step 2: Convert to fraction form
    35,909.82/53,840.43 = 12,523.50/x
  3. Step 3: Cross multiply
    35,909.82x = 53,840.43 × 12,523.50
  4. Step 4: Simplify right side
    35,909.82x = 674,270,625.11
  5. Step 5: Solve for x
    x = 674,270,625.11/35,909.82
  6. Step 6: Final answer
    x = 18,776.78

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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.