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Finding the Fourth Proportional to 30,594.22, 45,892.67 and 8,409.78

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Solution

The fourth proportional to 30,594.22, 45,892.67 and 8,409.78 is: 12,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.22 : 45,892.67 = 8,409.78 : x
  2. Step 2: Convert to fraction form
    30,594.22/45,892.67 = 8,409.78/x
  3. Step 3: Cross multiply
    30,594.22x = 45,892.67 × 8,409.78
  4. Step 4: Simplify right side
    30,594.22x = 385,947,258.31
  5. Step 5: Solve for x
    x = 385,947,258.31/30,594.22
  6. Step 6: Final answer
    x = 12,615.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.