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Finding the Fourth Proportional to 38,099.66, 57,095.01 and 21,424.68

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Solution

The fourth proportional to 38,099.66, 57,095.01 and 21,424.68 is: 32,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099.66 : 57,095.01 = 21,424.68 : x
  2. Step 2: Convert to fraction form
    38,099.66/57,095.01 = 21,424.68/x
  3. Step 3: Cross multiply
    38,099.66x = 57,095.01 × 21,424.68
  4. Step 4: Simplify right side
    38,099.66x = 1,223,242,318.85
  5. Step 5: Solve for x
    x = 1,223,242,318.85/38,099.66
  6. Step 6: Final answer
    x = 32,106.39

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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.