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Finding the Fourth Proportional to 31,206.70, 46,814.10 and 15,419.80

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Solution

The fourth proportional to 31,206.70, 46,814.10 and 15,419.80 is: 23,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.70 : 46,814.10 = 15,419.80 : x
  2. Step 2: Convert to fraction form
    31,206.70/46,814.10 = 15,419.80/x
  3. Step 3: Cross multiply
    31,206.70x = 46,814.10 × 15,419.80
  4. Step 4: Simplify right side
    31,206.70x = 721,864,059.18
  5. Step 5: Solve for x
    x = 721,864,059.18/31,206.70
  6. Step 6: Final answer
    x = 23,131.70

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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.