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Finding the Fourth Proportional to 32,881.76, 49,328 and 18,097.60

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Solution

The fourth proportional to 32,881.76, 49,328 and 18,097.60 is: 27,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.76 : 49,328 = 18,097.60 : x
  2. Step 2: Convert to fraction form
    32,881.76/49,328 = 18,097.60/x
  3. Step 3: Cross multiply
    32,881.76x = 49,328 × 18,097.60
  4. Step 4: Simplify right side
    32,881.76x = 892,718,412.80
  5. Step 5: Solve for x
    x = 892,718,412.80/32,881.76
  6. Step 6: Final answer
    x = 27,149.35

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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.