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Finding the Fourth Proportional to 30,542.88, 45,817.98 and 10,817.40

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Solution

The fourth proportional to 30,542.88, 45,817.98 and 10,817.40 is: 16,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.88 : 45,817.98 = 10,817.40 : x
  2. Step 2: Convert to fraction form
    30,542.88/45,817.98 = 10,817.40/x
  3. Step 3: Cross multiply
    30,542.88x = 45,817.98 × 10,817.40
  4. Step 4: Simplify right side
    30,542.88x = 495,631,416.85
  5. Step 5: Solve for x
    x = 495,631,416.85/30,542.88
  6. Step 6: Final answer
    x = 16,227.40

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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.