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Finding the Fourth Proportional to 35,839.53, 49,459.14 and 19,707.53

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Solution

The fourth proportional to 35,839.53, 49,459.14 and 19,707.53 is: 27,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,839.53 : 49,459.14 = 19,707.53 : x
  2. Step 2: Convert to fraction form
    35,839.53/49,459.14 = 19,707.53/x
  3. Step 3: Cross multiply
    35,839.53x = 49,459.14 × 19,707.53
  4. Step 4: Simplify right side
    35,839.53x = 974,717,238.03
  5. Step 5: Solve for x
    x = 974,717,238.03/35,839.53
  6. Step 6: Final answer
    x = 27,196.71

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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.