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Finding the Fourth Proportional to 32,026.14, 48,039.03 and 10,966.37

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Solution

The fourth proportional to 32,026.14, 48,039.03 and 10,966.37 is: 16,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026.14 : 48,039.03 = 10,966.37 : x
  2. Step 2: Convert to fraction form
    32,026.14/48,039.03 = 10,966.37/x
  3. Step 3: Cross multiply
    32,026.14x = 48,039.03 × 10,966.37
  4. Step 4: Simplify right side
    32,026.14x = 526,813,537.23
  5. Step 5: Solve for x
    x = 526,813,537.23/32,026.14
  6. Step 6: Final answer
    x = 16,449.49

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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.