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Finding the Fourth Proportional to 32,277.60, 48,416.43 and 10,091.09

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Solution

The fourth proportional to 32,277.60, 48,416.43 and 10,091.09 is: 15,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,277.60 : 48,416.43 = 10,091.09 : x
  2. Step 2: Convert to fraction form
    32,277.60/48,416.43 = 10,091.09/x
  3. Step 3: Cross multiply
    32,277.60x = 48,416.43 × 10,091.09
  4. Step 4: Simplify right side
    32,277.60x = 488,574,711.49
  5. Step 5: Solve for x
    x = 488,574,711.49/32,277.60
  6. Step 6: Final answer
    x = 15,136.65

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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.