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Finding the Fourth Proportional to 30,477.33, 45,715.79 and 8,290.62

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Solution

The fourth proportional to 30,477.33, 45,715.79 and 8,290.62 is: 12,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.33 : 45,715.79 = 8,290.62 : x
  2. Step 2: Convert to fraction form
    30,477.33/45,715.79 = 8,290.62/x
  3. Step 3: Cross multiply
    30,477.33x = 45,715.79 × 8,290.62
  4. Step 4: Simplify right side
    30,477.33x = 379,012,263.62
  5. Step 5: Solve for x
    x = 379,012,263.62/30,477.33
  6. Step 6: Final answer
    x = 12,435.87

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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.