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Finding the Fourth Proportional to 35,842.68, 49,459.14 and 19,924.56

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Solution

The fourth proportional to 35,842.68, 49,459.14 and 19,924.56 is: 27,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.68 : 49,459.14 = 19,924.56 : x
  2. Step 2: Convert to fraction form
    35,842.68/49,459.14 = 19,924.56/x
  3. Step 3: Cross multiply
    35,842.68x = 49,459.14 × 19,924.56
  4. Step 4: Simplify right side
    35,842.68x = 985,451,602.48
  5. Step 5: Solve for x
    x = 985,451,602.48/35,842.68
  6. Step 6: Final answer
    x = 27,493.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.