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Finding the Fourth Proportional to 35,906.32, 53,835.18 and 12,520

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Solution

The fourth proportional to 35,906.32, 53,835.18 and 12,520 is: 18,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.32 : 53,835.18 = 12,520 : x
  2. Step 2: Convert to fraction form
    35,906.32/53,835.18 = 12,520/x
  3. Step 3: Cross multiply
    35,906.32x = 53,835.18 × 12,520
  4. Step 4: Simplify right side
    35,906.32x = 674,016,453.60
  5. Step 5: Solve for x
    x = 674,016,453.60/35,906.32
  6. Step 6: Final answer
    x = 18,771.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.