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Finding the Fourth Proportional to 30,876.20, 46,309.98 and 10,097

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Solution

The fourth proportional to 30,876.20, 46,309.98 and 10,097 is: 15,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.20 : 46,309.98 = 10,097 : x
  2. Step 2: Convert to fraction form
    30,876.20/46,309.98 = 10,097/x
  3. Step 3: Cross multiply
    30,876.20x = 46,309.98 × 10,097
  4. Step 4: Simplify right side
    30,876.20x = 467,591,868.06
  5. Step 5: Solve for x
    x = 467,591,868.06/30,876.20
  6. Step 6: Final answer
    x = 15,144.09

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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.