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Finding the Fourth Proportional to 30,301.34, 45,454.46 and 8,114.54

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Solution

The fourth proportional to 30,301.34, 45,454.46 and 8,114.54 is: 12,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301.34 : 45,454.46 = 8,114.54 : x
  2. Step 2: Convert to fraction form
    30,301.34/45,454.46 = 8,114.54/x
  3. Step 3: Cross multiply
    30,301.34x = 45,454.46 × 8,114.54
  4. Step 4: Simplify right side
    30,301.34x = 368,841,766.00
  5. Step 5: Solve for x
    x = 368,841,766.00/30,301.34
  6. Step 6: Final answer
    x = 12,172.46

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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.