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Finding the Fourth Proportional to 35,906.40, 53,861.20 and 13,730.40

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Solution

The fourth proportional to 35,906.40, 53,861.20 and 13,730.40 is: 20,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.40 : 53,861.20 = 13,730.40 : x
  2. Step 2: Convert to fraction form
    35,906.40/53,861.20 = 13,730.40/x
  3. Step 3: Cross multiply
    35,906.40x = 53,861.20 × 13,730.40
  4. Step 4: Simplify right side
    35,906.40x = 739,535,820.48
  5. Step 5: Solve for x
    x = 739,535,820.48/35,906.40
  6. Step 6: Final answer
    x = 20,596.21

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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.