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Finding the Fourth Proportional to 30,290.08, 45,431.64 and 8,105.20

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Solution

The fourth proportional to 30,290.08, 45,431.64 and 8,105.20 is: 12,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.08 : 45,431.64 = 8,105.20 : x
  2. Step 2: Convert to fraction form
    30,290.08/45,431.64 = 8,105.20/x
  3. Step 3: Cross multiply
    30,290.08x = 45,431.64 × 8,105.20
  4. Step 4: Simplify right side
    30,290.08x = 368,232,528.53
  5. Step 5: Solve for x
    x = 368,232,528.53/30,290.08
  6. Step 6: Final answer
    x = 12,156.87

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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.