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Finding the Fourth Proportional to 30,419.42, 45,630.95 and 14,627.66

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Solution

The fourth proportional to 30,419.42, 45,630.95 and 14,627.66 is: 21,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.42 : 45,630.95 = 14,627.66 : x
  2. Step 2: Convert to fraction form
    30,419.42/45,630.95 = 14,627.66/x
  3. Step 3: Cross multiply
    30,419.42x = 45,630.95 × 14,627.66
  4. Step 4: Simplify right side
    30,419.42x = 667,473,720.78
  5. Step 5: Solve for x
    x = 667,473,720.78/30,419.42
  6. Step 6: Final answer
    x = 21,942.36

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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.