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Finding the Fourth Proportional to 52,052.68, 71,806.14 and 31,629.22

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Solution

The fourth proportional to 52,052.68, 71,806.14 and 31,629.22 is: 43,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052.68 : 71,806.14 = 31,629.22 : x
  2. Step 2: Convert to fraction form
    52,052.68/71,806.14 = 31,629.22/x
  3. Step 3: Cross multiply
    52,052.68x = 71,806.14 × 31,629.22
  4. Step 4: Simplify right side
    52,052.68x = 2,271,172,199.41
  5. Step 5: Solve for x
    x = 2,271,172,199.41/52,052.68
  6. Step 6: Final answer
    x = 43,632.19

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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.