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Finding the Fourth Proportional to 31,817.84, 43,925.08 and 22,428.32

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Solution

The fourth proportional to 31,817.84, 43,925.08 and 22,428.32 is: 30,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.84 : 43,925.08 = 22,428.32 : x
  2. Step 2: Convert to fraction form
    31,817.84/43,925.08 = 22,428.32/x
  3. Step 3: Cross multiply
    31,817.84x = 43,925.08 × 22,428.32
  4. Step 4: Simplify right side
    31,817.84x = 985,165,750.27
  5. Step 5: Solve for x
    x = 985,165,750.27/31,817.84
  6. Step 6: Final answer
    x = 30,962.68

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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.