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Finding the Fourth Proportional to 32,283.25, 48,426.70 and 11,506.75

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Solution

The fourth proportional to 32,283.25, 48,426.70 and 11,506.75 is: 17,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.25 : 48,426.70 = 11,506.75 : x
  2. Step 2: Convert to fraction form
    32,283.25/48,426.70 = 11,506.75/x
  3. Step 3: Cross multiply
    32,283.25x = 48,426.70 × 11,506.75
  4. Step 4: Simplify right side
    32,283.25x = 557,233,930.23
  5. Step 5: Solve for x
    x = 557,233,930.23/32,283.25
  6. Step 6: Final answer
    x = 17,260.78

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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.