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Finding the Fourth Proportional to 32,812.67, 49,217.40 and 9,120.06

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Solution

The fourth proportional to 32,812.67, 49,217.40 and 9,120.06 is: 13,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812.67 : 49,217.40 = 9,120.06 : x
  2. Step 2: Convert to fraction form
    32,812.67/49,217.40 = 9,120.06/x
  3. Step 3: Cross multiply
    32,812.67x = 49,217.40 × 9,120.06
  4. Step 4: Simplify right side
    32,812.67x = 448,865,641.04
  5. Step 5: Solve for x
    x = 448,865,641.04/32,812.67
  6. Step 6: Final answer
    x = 13,679.64

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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.