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Finding the Fourth Proportional to 35,718.34, 49,291.76 and 20,614.14

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Solution

The fourth proportional to 35,718.34, 49,291.76 and 20,614.14 is: 28,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,718.34 : 49,291.76 = 20,614.14 : x
  2. Step 2: Convert to fraction form
    35,718.34/49,291.76 = 20,614.14/x
  3. Step 3: Cross multiply
    35,718.34x = 49,291.76 × 20,614.14
  4. Step 4: Simplify right side
    35,718.34x = 1,016,107,241.49
  5. Step 5: Solve for x
    x = 1,016,107,241.49/35,718.34
  6. Step 6: Final answer
    x = 28,447.77

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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.