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Finding the Fourth Proportional to 31,097.36, 46,635.24 and 10,316

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Solution

The fourth proportional to 31,097.36, 46,635.24 and 10,316 is: 15,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.36 : 46,635.24 = 10,316 : x
  2. Step 2: Convert to fraction form
    31,097.36/46,635.24 = 10,316/x
  3. Step 3: Cross multiply
    31,097.36x = 46,635.24 × 10,316
  4. Step 4: Simplify right side
    31,097.36x = 481,089,135.84
  5. Step 5: Solve for x
    x = 481,089,135.84/31,097.36
  6. Step 6: Final answer
    x = 15,470.42

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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.