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Finding the Fourth Proportional to 35,900.21, 53,846.22 and 13,713.10

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Solution

The fourth proportional to 35,900.21, 53,846.22 and 13,713.10 is: 20,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,900.21 : 53,846.22 = 13,713.10 : x
  2. Step 2: Convert to fraction form
    35,900.21/53,846.22 = 13,713.10/x
  3. Step 3: Cross multiply
    35,900.21x = 53,846.22 × 13,713.10
  4. Step 4: Simplify right side
    35,900.21x = 738,398,439.15
  5. Step 5: Solve for x
    x = 738,398,439.15/35,900.21
  6. Step 6: Final answer
    x = 20,568.08

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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.