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Finding the Fourth Proportional to 30,274.89, 45,411.81 and 13,623.14

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Solution

The fourth proportional to 30,274.89, 45,411.81 and 13,623.14 is: 20,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.89 : 45,411.81 = 13,623.14 : x
  2. Step 2: Convert to fraction form
    30,274.89/45,411.81 = 13,623.14/x
  3. Step 3: Cross multiply
    30,274.89x = 45,411.81 × 13,623.14
  4. Step 4: Simplify right side
    30,274.89x = 618,651,218.22
  5. Step 5: Solve for x
    x = 618,651,218.22/30,274.89
  6. Step 6: Final answer
    x = 20,434.47

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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.