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Finding the Fourth Proportional to 31,021.90, 46,529 and 9,960.28

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Solution

The fourth proportional to 31,021.90, 46,529 and 9,960.28 is: 14,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.90 : 46,529 = 9,960.28 : x
  2. Step 2: Convert to fraction form
    31,021.90/46,529 = 9,960.28/x
  3. Step 3: Cross multiply
    31,021.90x = 46,529 × 9,960.28
  4. Step 4: Simplify right side
    31,021.90x = 463,441,868.12
  5. Step 5: Solve for x
    x = 463,441,868.12/31,021.90
  6. Step 6: Final answer
    x = 14,939.18

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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.