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Finding the Fourth Proportional to 31,209.80, 46,814.70 and 10,433.30

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Solution

The fourth proportional to 31,209.80, 46,814.70 and 10,433.30 is: 15,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.80 : 46,814.70 = 10,433.30 : x
  2. Step 2: Convert to fraction form
    31,209.80/46,814.70 = 10,433.30/x
  3. Step 3: Cross multiply
    31,209.80x = 46,814.70 × 10,433.30
  4. Step 4: Simplify right side
    31,209.80x = 488,431,809.51
  5. Step 5: Solve for x
    x = 488,431,809.51/31,209.80
  6. Step 6: Final answer
    x = 15,649.95

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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.