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Finding the Fourth Proportional to 31,063.84, 46,554.24 and 11,323.84

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Solution

The fourth proportional to 31,063.84, 46,554.24 and 11,323.84 is: 16,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,063.84 : 46,554.24 = 11,323.84 : x
  2. Step 2: Convert to fraction form
    31,063.84/46,554.24 = 11,323.84/x
  3. Step 3: Cross multiply
    31,063.84x = 46,554.24 × 11,323.84
  4. Step 4: Simplify right side
    31,063.84x = 527,172,765.08
  5. Step 5: Solve for x
    x = 527,172,765.08/31,063.84
  6. Step 6: Final answer
    x = 16,970.62

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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.