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Finding the Fourth Proportional to 31,036.84, 46,472.64 and 21,195.34

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Solution

The fourth proportional to 31,036.84, 46,472.64 and 21,195.34 is: 31,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.84 : 46,472.64 = 21,195.34 : x
  2. Step 2: Convert to fraction form
    31,036.84/46,472.64 = 21,195.34/x
  3. Step 3: Cross multiply
    31,036.84x = 46,472.64 × 21,195.34
  4. Step 4: Simplify right side
    31,036.84x = 985,003,405.50
  5. Step 5: Solve for x
    x = 985,003,405.50/31,036.84
  6. Step 6: Final answer
    x = 31,736.59

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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.