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Finding the Fourth Proportional to 32,097.42, 48,132.36 and 11,039.58

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Solution

The fourth proportional to 32,097.42, 48,132.36 and 11,039.58 is: 16,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.42 : 48,132.36 = 11,039.58 : x
  2. Step 2: Convert to fraction form
    32,097.42/48,132.36 = 11,039.58/x
  3. Step 3: Cross multiply
    32,097.42x = 48,132.36 × 11,039.58
  4. Step 4: Simplify right side
    32,097.42x = 531,361,038.81
  5. Step 5: Solve for x
    x = 531,361,038.81/32,097.42
  6. Step 6: Final answer
    x = 16,554.63

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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.