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Finding the Fourth Proportional to 30,611.28, 45,911.40 and 8,421.78

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Solution

The fourth proportional to 30,611.28, 45,911.40 and 8,421.78 is: 12,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.28 : 45,911.40 = 8,421.78 : x
  2. Step 2: Convert to fraction form
    30,611.28/45,911.40 = 8,421.78/x
  3. Step 3: Cross multiply
    30,611.28x = 45,911.40 × 8,421.78
  4. Step 4: Simplify right side
    30,611.28x = 386,655,710.29
  5. Step 5: Solve for x
    x = 386,655,710.29/30,611.28
  6. Step 6: Final answer
    x = 12,631.15

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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.