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Finding the Fourth Proportional to 30,206.80, 45,292.26 and 9,140.44

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Solution

The fourth proportional to 30,206.80, 45,292.26 and 9,140.44 is: 13,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.80 : 45,292.26 = 9,140.44 : x
  2. Step 2: Convert to fraction form
    30,206.80/45,292.26 = 9,140.44/x
  3. Step 3: Cross multiply
    30,206.80x = 45,292.26 × 9,140.44
  4. Step 4: Simplify right side
    30,206.80x = 413,991,184.99
  5. Step 5: Solve for x
    x = 413,991,184.99/30,206.80
  6. Step 6: Final answer
    x = 13,705.23

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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.