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Finding the Fourth Proportional to 35,634.84, 53,452.67 and 9,342.24

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Solution

The fourth proportional to 35,634.84, 53,452.67 and 9,342.24 is: 14,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,634.84 : 53,452.67 = 9,342.24 : x
  2. Step 2: Convert to fraction form
    35,634.84/53,452.67 = 9,342.24/x
  3. Step 3: Cross multiply
    35,634.84x = 53,452.67 × 9,342.24
  4. Step 4: Simplify right side
    35,634.84x = 499,367,625.07
  5. Step 5: Solve for x
    x = 499,367,625.07/35,634.84
  6. Step 6: Final answer
    x = 14,013.47

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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.