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Finding the Fourth Proportional to 29,564.29, 40,813.77 and 22,834.81

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Solution

The fourth proportional to 29,564.29, 40,813.77 and 22,834.81 is: 31,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564.29 : 40,813.77 = 22,834.81 : x
  2. Step 2: Convert to fraction form
    29,564.29/40,813.77 = 22,834.81/x
  3. Step 3: Cross multiply
    29,564.29x = 40,813.77 × 22,834.81
  4. Step 4: Simplify right side
    29,564.29x = 931,974,683.33
  5. Step 5: Solve for x
    x = 931,974,683.33/29,564.29
  6. Step 6: Final answer
    x = 31,523.66

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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.