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Finding the Fourth Proportional to 30,094.24, 45,140.88 and 8,206.24

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Solution

The fourth proportional to 30,094.24, 45,140.88 and 8,206.24 is: 12,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094.24 : 45,140.88 = 8,206.24 : x
  2. Step 2: Convert to fraction form
    30,094.24/45,140.88 = 8,206.24/x
  3. Step 3: Cross multiply
    30,094.24x = 45,140.88 × 8,206.24
  4. Step 4: Simplify right side
    30,094.24x = 370,436,895.09
  5. Step 5: Solve for x
    x = 370,436,895.09/30,094.24
  6. Step 6: Final answer
    x = 12,309.23

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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.