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Finding the Fourth Proportional to 31,762.26, 43,834.50 and 18,334.08

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Solution

The fourth proportional to 31,762.26, 43,834.50 and 18,334.08 is: 25,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.26 : 43,834.50 = 18,334.08 : x
  2. Step 2: Convert to fraction form
    31,762.26/43,834.50 = 18,334.08/x
  3. Step 3: Cross multiply
    31,762.26x = 43,834.50 × 18,334.08
  4. Step 4: Simplify right side
    31,762.26x = 803,665,229.76
  5. Step 5: Solve for x
    x = 803,665,229.76/31,762.26
  6. Step 6: Final answer
    x = 25,302.52

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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.