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Finding the Fourth Proportional to 35,891.82, 53,833.62 and 9,598.68

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Solution

The fourth proportional to 35,891.82, 53,833.62 and 9,598.68 is: 14,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891.82 : 53,833.62 = 9,598.68 : x
  2. Step 2: Convert to fraction form
    35,891.82/53,833.62 = 9,598.68/x
  3. Step 3: Cross multiply
    35,891.82x = 53,833.62 × 9,598.68
  4. Step 4: Simplify right side
    35,891.82x = 516,731,691.62
  5. Step 5: Solve for x
    x = 516,731,691.62/35,891.82
  6. Step 6: Final answer
    x = 14,396.92

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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.