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Finding the Fourth Proportional to 30,614.06, 45,915.70 and 8,422.08

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Solution

The fourth proportional to 30,614.06, 45,915.70 and 8,422.08 is: 12,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.06 : 45,915.70 = 8,422.08 : x
  2. Step 2: Convert to fraction form
    30,614.06/45,915.70 = 8,422.08/x
  3. Step 3: Cross multiply
    30,614.06x = 45,915.70 × 8,422.08
  4. Step 4: Simplify right side
    30,614.06x = 386,705,698.66
  5. Step 5: Solve for x
    x = 386,705,698.66/30,614.06
  6. Step 6: Final answer
    x = 12,631.64

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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.