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Finding the Fourth Proportional to 31,141.85, 46,705.77 and 8,950.28

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Solution

The fourth proportional to 31,141.85, 46,705.77 and 8,950.28 is: 13,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.85 : 46,705.77 = 8,950.28 : x
  2. Step 2: Convert to fraction form
    31,141.85/46,705.77 = 8,950.28/x
  3. Step 3: Cross multiply
    31,141.85x = 46,705.77 × 8,950.28
  4. Step 4: Simplify right side
    31,141.85x = 418,029,719.12
  5. Step 5: Solve for x
    x = 418,029,719.12/31,141.85
  6. Step 6: Final answer
    x = 13,423.41

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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.