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Finding the Fourth Proportional to 30,301.64, 45,451.73 and 8,114.99

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Solution

The fourth proportional to 30,301.64, 45,451.73 and 8,114.99 is: 12,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301.64 : 45,451.73 = 8,114.99 : x
  2. Step 2: Convert to fraction form
    30,301.64/45,451.73 = 8,114.99/x
  3. Step 3: Cross multiply
    30,301.64x = 45,451.73 × 8,114.99
  4. Step 4: Simplify right side
    30,301.64x = 368,840,468.35
  5. Step 5: Solve for x
    x = 368,840,468.35/30,301.64
  6. Step 6: Final answer
    x = 12,172.30

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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.