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Finding the Fourth Proportional to 31,273.99, 46,914.81 and 10,208.38

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Solution

The fourth proportional to 31,273.99, 46,914.81 and 10,208.38 is: 15,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,273.99 : 46,914.81 = 10,208.38 : x
  2. Step 2: Convert to fraction form
    31,273.99/46,914.81 = 10,208.38/x
  3. Step 3: Cross multiply
    31,273.99x = 46,914.81 × 10,208.38
  4. Step 4: Simplify right side
    31,273.99x = 478,924,208.11
  5. Step 5: Solve for x
    x = 478,924,208.11/31,273.99
  6. Step 6: Final answer
    x = 15,313.82

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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.