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Finding the Fourth Proportional to 30,412.60, 45,612.52 and 8,220.76

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Solution

The fourth proportional to 30,412.60, 45,612.52 and 8,220.76 is: 12,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.60 : 45,612.52 = 8,220.76 : x
  2. Step 2: Convert to fraction form
    30,412.60/45,612.52 = 8,220.76/x
  3. Step 3: Cross multiply
    30,412.60x = 45,612.52 × 8,220.76
  4. Step 4: Simplify right side
    30,412.60x = 374,969,445.33
  5. Step 5: Solve for x
    x = 374,969,445.33/30,412.60
  6. Step 6: Final answer
    x = 12,329.41

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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.