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Finding the Fourth Proportional to 35,883.75, 53,825.67 and 11,259.75

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Solution

The fourth proportional to 35,883.75, 53,825.67 and 11,259.75 is: 16,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,883.75 : 53,825.67 = 11,259.75 : x
  2. Step 2: Convert to fraction form
    35,883.75/53,825.67 = 11,259.75/x
  3. Step 3: Cross multiply
    35,883.75x = 53,825.67 × 11,259.75
  4. Step 4: Simplify right side
    35,883.75x = 606,063,587.78
  5. Step 5: Solve for x
    x = 606,063,587.78/35,883.75
  6. Step 6: Final answer
    x = 16,889.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.