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Finding the Fourth Proportional to 31,289.99, 46,938.90 and 10,232.15

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Solution

The fourth proportional to 31,289.99, 46,938.90 and 10,232.15 is: 15,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,289.99 : 46,938.90 = 10,232.15 : x
  2. Step 2: Convert to fraction form
    31,289.99/46,938.90 = 10,232.15/x
  3. Step 3: Cross multiply
    31,289.99x = 46,938.90 × 10,232.15
  4. Step 4: Simplify right side
    31,289.99x = 480,285,865.64
  5. Step 5: Solve for x
    x = 480,285,865.64/31,289.99
  6. Step 6: Final answer
    x = 15,349.51

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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.