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Finding the Fourth Proportional to 32,412, 48,626.21 and 9,038.44

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Solution

The fourth proportional to 32,412, 48,626.21 and 9,038.44 is: 13,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412 : 48,626.21 = 9,038.44 : x
  2. Step 2: Convert to fraction form
    32,412/48,626.21 = 9,038.44/x
  3. Step 3: Cross multiply
    32,412x = 48,626.21 × 9,038.44
  4. Step 4: Simplify right side
    32,412x = 439,504,914.75
  5. Step 5: Solve for x
    x = 439,504,914.75/32,412
  6. Step 6: Final answer
    x = 13,559.94

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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.