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Finding the Fourth Proportional to 35,473.75, 53,218.37 and 11,788.54

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Solution

The fourth proportional to 35,473.75, 53,218.37 and 11,788.54 is: 17,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.75 : 53,218.37 = 11,788.54 : x
  2. Step 2: Convert to fraction form
    35,473.75/53,218.37 = 11,788.54/x
  3. Step 3: Cross multiply
    35,473.75x = 53,218.37 × 11,788.54
  4. Step 4: Simplify right side
    35,473.75x = 627,366,713.59
  5. Step 5: Solve for x
    x = 627,366,713.59/35,473.75
  6. Step 6: Final answer
    x = 17,685.38

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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.