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Finding the Fourth Proportional to 30,612.06, 45,912.70 and 8,420.08

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Solution

The fourth proportional to 30,612.06, 45,912.70 and 8,420.08 is: 12,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612.06 : 45,912.70 = 8,420.08 : x
  2. Step 2: Convert to fraction form
    30,612.06/45,912.70 = 8,420.08/x
  3. Step 3: Cross multiply
    30,612.06x = 45,912.70 × 8,420.08
  4. Step 4: Simplify right side
    30,612.06x = 386,588,607.02
  5. Step 5: Solve for x
    x = 386,588,607.02/30,612.06
  6. Step 6: Final answer
    x = 12,628.64

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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.