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Finding the Fourth Proportional to 30,210.50, 45,171.57 and 27,563.69

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Solution

The fourth proportional to 30,210.50, 45,171.57 and 27,563.69 is: 41,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210.50 : 45,171.57 = 27,563.69 : x
  2. Step 2: Convert to fraction form
    30,210.50/45,171.57 = 27,563.69/x
  3. Step 3: Cross multiply
    30,210.50x = 45,171.57 × 27,563.69
  4. Step 4: Simplify right side
    30,210.50x = 1,245,095,152.29
  5. Step 5: Solve for x
    x = 1,245,095,152.29/30,210.50
  6. Step 6: Final answer
    x = 41,213.99

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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.