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Finding the Fourth Proportional to 31,172.84, 46,752.57 and 8,982.08

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Solution

The fourth proportional to 31,172.84, 46,752.57 and 8,982.08 is: 13,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.84 : 46,752.57 = 8,982.08 : x
  2. Step 2: Convert to fraction form
    31,172.84/46,752.57 = 8,982.08/x
  3. Step 3: Cross multiply
    31,172.84x = 46,752.57 × 8,982.08
  4. Step 4: Simplify right side
    31,172.84x = 419,935,090.18
  5. Step 5: Solve for x
    x = 419,935,090.18/31,172.84
  6. Step 6: Final answer
    x = 13,471.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.