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Finding the Fourth Proportional to 20,075.20, 30,088.88 and 8,228.50

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Solution

The fourth proportional to 20,075.20, 30,088.88 and 8,228.50 is: 12,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.20 : 30,088.88 = 8,228.50 : x
  2. Step 2: Convert to fraction form
    20,075.20/30,088.88 = 8,228.50/x
  3. Step 3: Cross multiply
    20,075.20x = 30,088.88 × 8,228.50
  4. Step 4: Simplify right side
    20,075.20x = 247,586,157.49
  5. Step 5: Solve for x
    x = 247,586,157.49/20,075.20
  6. Step 6: Final answer
    x = 12,332.94

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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.