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Finding the Fourth Proportional to 31,141.39, 46,707.06 and 8,949.70

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Solution

The fourth proportional to 31,141.39, 46,707.06 and 8,949.70 is: 13,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.39 : 46,707.06 = 8,949.70 : x
  2. Step 2: Convert to fraction form
    31,141.39/46,707.06 = 8,949.70/x
  3. Step 3: Cross multiply
    31,141.39x = 46,707.06 × 8,949.70
  4. Step 4: Simplify right side
    31,141.39x = 418,014,174.88
  5. Step 5: Solve for x
    x = 418,014,174.88/31,141.39
  6. Step 6: Final answer
    x = 13,423.11

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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.