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Finding the Fourth Proportional to 30,594.81, 45,892.71 and 8,408.05

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Solution

The fourth proportional to 30,594.81, 45,892.71 and 8,408.05 is: 12,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.81 : 45,892.71 = 8,408.05 : x
  2. Step 2: Convert to fraction form
    30,594.81/45,892.71 = 8,408.05/x
  3. Step 3: Cross multiply
    30,594.81x = 45,892.71 × 8,408.05
  4. Step 4: Simplify right side
    30,594.81x = 385,868,200.32
  5. Step 5: Solve for x
    x = 385,868,200.32/30,594.81
  6. Step 6: Final answer
    x = 12,612.21

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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.