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Finding the Fourth Proportional to 20,075.80, 30,101.70 and 12,290.20

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Solution

The fourth proportional to 20,075.80, 30,101.70 and 12,290.20 is: 18,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.80 : 30,101.70 = 12,290.20 : x
  2. Step 2: Convert to fraction form
    20,075.80/30,101.70 = 12,290.20/x
  3. Step 3: Cross multiply
    20,075.80x = 30,101.70 × 12,290.20
  4. Step 4: Simplify right side
    20,075.80x = 369,955,913.34
  5. Step 5: Solve for x
    x = 369,955,913.34/20,075.80
  6. Step 6: Final answer
    x = 18,427.95

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1.5x scale

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.