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Finding the Fourth Proportional to 30,588.28, 45,874.10 and 8,396.40

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Solution

The fourth proportional to 30,588.28, 45,874.10 and 8,396.40 is: 12,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.28 : 45,874.10 = 8,396.40 : x
  2. Step 2: Convert to fraction form
    30,588.28/45,874.10 = 8,396.40/x
  3. Step 3: Cross multiply
    30,588.28x = 45,874.10 × 8,396.40
  4. Step 4: Simplify right side
    30,588.28x = 385,177,293.24
  5. Step 5: Solve for x
    x = 385,177,293.24/30,588.28
  6. Step 6: Final answer
    x = 12,592.32

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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.