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Finding the Fourth Proportional to 35,695, 49,260.18 and 19,777.96

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Solution

The fourth proportional to 35,695, 49,260.18 and 19,777.96 is: 27,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695 : 49,260.18 = 19,777.96 : x
  2. Step 2: Convert to fraction form
    35,695/49,260.18 = 19,777.96/x
  3. Step 3: Cross multiply
    35,695x = 49,260.18 × 19,777.96
  4. Step 4: Simplify right side
    35,695x = 974,265,869.63
  5. Step 5: Solve for x
    x = 974,265,869.63/35,695
  6. Step 6: Final answer
    x = 27,294.18

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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.