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Finding the Fourth Proportional to 30,465.50, 45,677.42 and 16,236.12

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Solution

The fourth proportional to 30,465.50, 45,677.42 and 16,236.12 is: 24,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.50 : 45,677.42 = 16,236.12 : x
  2. Step 2: Convert to fraction form
    30,465.50/45,677.42 = 16,236.12/x
  3. Step 3: Cross multiply
    30,465.50x = 45,677.42 × 16,236.12
  4. Step 4: Simplify right side
    30,465.50x = 741,624,072.41
  5. Step 5: Solve for x
    x = 741,624,072.41/30,465.50
  6. Step 6: Final answer
    x = 24,343.08

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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.