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Finding the Fourth Proportional to 30,806.37, 42,511.76 and 17,377.13

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Solution

The fourth proportional to 30,806.37, 42,511.76 and 17,377.13 is: 23,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.37 : 42,511.76 = 17,377.13 : x
  2. Step 2: Convert to fraction form
    30,806.37/42,511.76 = 17,377.13/x
  3. Step 3: Cross multiply
    30,806.37x = 42,511.76 × 17,377.13
  4. Step 4: Simplify right side
    30,806.37x = 738,732,080.60
  5. Step 5: Solve for x
    x = 738,732,080.60/30,806.37
  6. Step 6: Final answer
    x = 23,979.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.