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Finding the Fourth Proportional to 31,174.84, 46,755.57 and 8,984.08

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Solution

The fourth proportional to 31,174.84, 46,755.57 and 8,984.08 is: 13,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.84 : 46,755.57 = 8,984.08 : x
  2. Step 2: Convert to fraction form
    31,174.84/46,755.57 = 8,984.08/x
  3. Step 3: Cross multiply
    31,174.84x = 46,755.57 × 8,984.08
  4. Step 4: Simplify right side
    31,174.84x = 420,055,547.55
  5. Step 5: Solve for x
    x = 420,055,547.55/31,174.84
  6. Step 6: Final answer
    x = 13,474.19

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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.