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Finding the Fourth Proportional to 31,142.39, 46,708.56 and 8,950.70

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Solution

The fourth proportional to 31,142.39, 46,708.56 and 8,950.70 is: 13,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.39 : 46,708.56 = 8,950.70 : x
  2. Step 2: Convert to fraction form
    31,142.39/46,708.56 = 8,950.70/x
  3. Step 3: Cross multiply
    31,142.39x = 46,708.56 × 8,950.70
  4. Step 4: Simplify right side
    31,142.39x = 418,074,307.99
  5. Step 5: Solve for x
    x = 418,074,307.99/31,142.39
  6. Step 6: Final answer
    x = 13,424.61

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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.