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Finding the Fourth Proportional to 30,287.75, 45,428.01 and 8,102.84

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Solution

The fourth proportional to 30,287.75, 45,428.01 and 8,102.84 is: 12,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.75 : 45,428.01 = 8,102.84 : x
  2. Step 2: Convert to fraction form
    30,287.75/45,428.01 = 8,102.84/x
  3. Step 3: Cross multiply
    30,287.75x = 45,428.01 × 8,102.84
  4. Step 4: Simplify right side
    30,287.75x = 368,095,669.41
  5. Step 5: Solve for x
    x = 368,095,669.41/30,287.75
  6. Step 6: Final answer
    x = 12,153.29

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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.