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Finding the Fourth Proportional to 32,583, 48,874.50 and 11,806.50

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Solution

The fourth proportional to 32,583, 48,874.50 and 11,806.50 is: 17,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583 : 48,874.50 = 11,806.50 : x
  2. Step 2: Convert to fraction form
    32,583/48,874.50 = 11,806.50/x
  3. Step 3: Cross multiply
    32,583x = 48,874.50 × 11,806.50
  4. Step 4: Simplify right side
    32,583x = 577,036,784.25
  5. Step 5: Solve for x
    x = 577,036,784.25/32,583
  6. Step 6: Final answer
    x = 17,709.75

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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.