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Finding the Fourth Proportional to 30,188.34, 45,223.61 and 19,768.50

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Solution

The fourth proportional to 30,188.34, 45,223.61 and 19,768.50 is: 29,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.34 : 45,223.61 = 19,768.50 : x
  2. Step 2: Convert to fraction form
    30,188.34/45,223.61 = 19,768.50/x
  3. Step 3: Cross multiply
    30,188.34x = 45,223.61 × 19,768.50
  4. Step 4: Simplify right side
    30,188.34x = 894,002,835.44
  5. Step 5: Solve for x
    x = 894,002,835.44/30,188.34
  6. Step 6: Final answer
    x = 29,614.18

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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.