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Finding the Fourth Proportional to 30,214.32, 45,224.43 and 16,139.15

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Solution

The fourth proportional to 30,214.32, 45,224.43 and 16,139.15 is: 24,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.32 : 45,224.43 = 16,139.15 : x
  2. Step 2: Convert to fraction form
    30,214.32/45,224.43 = 16,139.15/x
  3. Step 3: Cross multiply
    30,214.32x = 45,224.43 × 16,139.15
  4. Step 4: Simplify right side
    30,214.32x = 729,883,742.38
  5. Step 5: Solve for x
    x = 729,883,742.38/30,214.32
  6. Step 6: Final answer
    x = 24,156.88

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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.