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Finding the Fourth Proportional to 35,651.88, 53,478.59 and 13,475.70

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Solution

The fourth proportional to 35,651.88, 53,478.59 and 13,475.70 is: 20,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,651.88 : 53,478.59 = 13,475.70 : x
  2. Step 2: Convert to fraction form
    35,651.88/53,478.59 = 13,475.70/x
  3. Step 3: Cross multiply
    35,651.88x = 53,478.59 × 13,475.70
  4. Step 4: Simplify right side
    35,651.88x = 720,661,367.88
  5. Step 5: Solve for x
    x = 720,661,367.88/35,651.88
  6. Step 6: Final answer
    x = 20,213.84

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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.