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Finding the Fourth Proportional to 30,701.38, 46,062.96 and 17,564.80

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Solution

The fourth proportional to 30,701.38, 46,062.96 and 17,564.80 is: 26,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.38 : 46,062.96 = 17,564.80 : x
  2. Step 2: Convert to fraction form
    30,701.38/46,062.96 = 17,564.80/x
  3. Step 3: Cross multiply
    30,701.38x = 46,062.96 × 17,564.80
  4. Step 4: Simplify right side
    30,701.38x = 809,086,679.81
  5. Step 5: Solve for x
    x = 809,086,679.81/30,701.38
  6. Step 6: Final answer
    x = 26,353.43

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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.