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Finding the Fourth Proportional to 36,160, 54,260.48 and 16,704

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Solution

The fourth proportional to 36,160, 54,260.48 and 16,704 is: 25,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,160 : 54,260.48 = 16,704 : x
  2. Step 2: Convert to fraction form
    36,160/54,260.48 = 16,704/x
  3. Step 3: Cross multiply
    36,160x = 54,260.48 × 16,704
  4. Step 4: Simplify right side
    36,160x = 906,367,057.92
  5. Step 5: Solve for x
    x = 906,367,057.92/36,160
  6. Step 6: Final answer
    x = 25,065.46

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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.