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Finding the Fourth Proportional to 30,594.92, 45,892.35 and 8,408.39

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Solution

The fourth proportional to 30,594.92, 45,892.35 and 8,408.39 is: 12,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.92 : 45,892.35 = 8,408.39 : x
  2. Step 2: Convert to fraction form
    30,594.92/45,892.35 = 8,408.39/x
  3. Step 3: Cross multiply
    30,594.92x = 45,892.35 × 8,408.39
  4. Step 4: Simplify right side
    30,594.92x = 385,880,547.35
  5. Step 5: Solve for x
    x = 385,880,547.35/30,594.92
  6. Step 6: Final answer
    x = 12,612.57

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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.