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Finding the Fourth Proportional to 32,214.93, 48,316.24 and 10,028.58

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Solution

The fourth proportional to 32,214.93, 48,316.24 and 10,028.58 is: 15,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.93 : 48,316.24 = 10,028.58 : x
  2. Step 2: Convert to fraction form
    32,214.93/48,316.24 = 10,028.58/x
  3. Step 3: Cross multiply
    32,214.93x = 48,316.24 × 10,028.58
  4. Step 4: Simplify right side
    32,214.93x = 484,543,278.14
  5. Step 5: Solve for x
    x = 484,543,278.14/32,214.93
  6. Step 6: Final answer
    x = 15,040.95

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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.