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Finding the Fourth Proportional to 30,725.11, 46,085.60 and 8,538

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Solution

The fourth proportional to 30,725.11, 46,085.60 and 8,538 is: 12,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.11 : 46,085.60 = 8,538 : x
  2. Step 2: Convert to fraction form
    30,725.11/46,085.60 = 8,538/x
  3. Step 3: Cross multiply
    30,725.11x = 46,085.60 × 8,538
  4. Step 4: Simplify right side
    30,725.11x = 393,478,852.80
  5. Step 5: Solve for x
    x = 393,478,852.80/30,725.11
  6. Step 6: Final answer
    x = 12,806.43

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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.