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Finding the Fourth Proportional to 30,972.41, 46,458.87 and 9,912.62

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Solution

The fourth proportional to 30,972.41, 46,458.87 and 9,912.62 is: 14,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.41 : 46,458.87 = 9,912.62 : x
  2. Step 2: Convert to fraction form
    30,972.41/46,458.87 = 9,912.62/x
  3. Step 3: Cross multiply
    30,972.41x = 46,458.87 × 9,912.62
  4. Step 4: Simplify right side
    30,972.41x = 460,529,123.94
  5. Step 5: Solve for x
    x = 460,529,123.94/30,972.41
  6. Step 6: Final answer
    x = 14,869.01

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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.