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Finding the Fourth Proportional to 31,611.84, 47,424.82 and 11,890.57

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Solution

The fourth proportional to 31,611.84, 47,424.82 and 11,890.57 is: 17,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.84 : 47,424.82 = 11,890.57 : x
  2. Step 2: Convert to fraction form
    31,611.84/47,424.82 = 11,890.57/x
  3. Step 3: Cross multiply
    31,611.84x = 47,424.82 × 11,890.57
  4. Step 4: Simplify right side
    31,611.84x = 563,908,141.95
  5. Step 5: Solve for x
    x = 563,908,141.95/31,611.84
  6. Step 6: Final answer
    x = 17,838.51

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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.