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Finding the Fourth Proportional to 30,596.28, 45,888.93 and 8,406.78

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Solution

The fourth proportional to 30,596.28, 45,888.93 and 8,406.78 is: 12,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.28 : 45,888.93 = 8,406.78 : x
  2. Step 2: Convert to fraction form
    30,596.28/45,888.93 = 8,406.78/x
  3. Step 3: Cross multiply
    30,596.28x = 45,888.93 × 8,406.78
  4. Step 4: Simplify right side
    30,596.28x = 385,778,138.95
  5. Step 5: Solve for x
    x = 385,778,138.95/30,596.28
  6. Step 6: Final answer
    x = 12,608.66

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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.