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Finding the Fourth Proportional to 35,704.60, 53,589.78 and 18,187

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Solution

The fourth proportional to 35,704.60, 53,589.78 and 18,187 is: 27,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.60 : 53,589.78 = 18,187 : x
  2. Step 2: Convert to fraction form
    35,704.60/53,589.78 = 18,187/x
  3. Step 3: Cross multiply
    35,704.60x = 53,589.78 × 18,187
  4. Step 4: Simplify right side
    35,704.60x = 974,637,328.86
  5. Step 5: Solve for x
    x = 974,637,328.86/35,704.60
  6. Step 6: Final answer
    x = 27,297.25

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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.