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Finding the Fourth Proportional to 30,290.24, 45,433.52 and 11,311.24

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Solution

The fourth proportional to 30,290.24, 45,433.52 and 11,311.24 is: 16,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.24 : 45,433.52 = 11,311.24 : x
  2. Step 2: Convert to fraction form
    30,290.24/45,433.52 = 11,311.24/x
  3. Step 3: Cross multiply
    30,290.24x = 45,433.52 × 11,311.24
  4. Step 4: Simplify right side
    30,290.24x = 513,909,448.76
  5. Step 5: Solve for x
    x = 513,909,448.76/30,290.24
  6. Step 6: Final answer
    x = 16,966.17

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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.