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Finding the Fourth Proportional to 31,706.25, 47,544.99 and 11,970.80

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Solution

The fourth proportional to 31,706.25, 47,544.99 and 11,970.80 is: 17,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.25 : 47,544.99 = 11,970.80 : x
  2. Step 2: Convert to fraction form
    31,706.25/47,544.99 = 11,970.80/x
  3. Step 3: Cross multiply
    31,706.25x = 47,544.99 × 11,970.80
  4. Step 4: Simplify right side
    31,706.25x = 569,151,566.29
  5. Step 5: Solve for x
    x = 569,151,566.29/31,706.25
  6. Step 6: Final answer
    x = 17,950.77

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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.