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Finding the Fourth Proportional to 30,991.70, 46,482.99 and 10,212.50

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Solution

The fourth proportional to 30,991.70, 46,482.99 and 10,212.50 is: 15,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.70 : 46,482.99 = 10,212.50 : x
  2. Step 2: Convert to fraction form
    30,991.70/46,482.99 = 10,212.50/x
  3. Step 3: Cross multiply
    30,991.70x = 46,482.99 × 10,212.50
  4. Step 4: Simplify right side
    30,991.70x = 474,707,535.38
  5. Step 5: Solve for x
    x = 474,707,535.38/30,991.70
  6. Step 6: Final answer
    x = 15,317.25

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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.