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Finding the Fourth Proportional to 30,188.84, 45,224.36 and 19,769

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Solution

The fourth proportional to 30,188.84, 45,224.36 and 19,769 is: 29,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.84 : 45,224.36 = 19,769 : x
  2. Step 2: Convert to fraction form
    30,188.84/45,224.36 = 19,769/x
  3. Step 3: Cross multiply
    30,188.84x = 45,224.36 × 19,769
  4. Step 4: Simplify right side
    30,188.84x = 894,040,274.00
  5. Step 5: Solve for x
    x = 894,040,274.00/30,188.84
  6. Step 6: Final answer
    x = 29,614.93

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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.