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Finding the Fourth Proportional to 30,611.76, 45,918.21 and 8,425.02

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Solution

The fourth proportional to 30,611.76, 45,918.21 and 8,425.02 is: 12,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.76 : 45,918.21 = 8,425.02 : x
  2. Step 2: Convert to fraction form
    30,611.76/45,918.21 = 8,425.02/x
  3. Step 3: Cross multiply
    30,611.76x = 45,918.21 × 8,425.02
  4. Step 4: Simplify right side
    30,611.76x = 386,861,837.61
  5. Step 5: Solve for x
    x = 386,861,837.61/30,611.76
  6. Step 6: Final answer
    x = 12,637.69

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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.