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Finding the Fourth Proportional to 123,817.46, 185,726.39 and 39,584.41

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Solution

The fourth proportional to 123,817.46, 185,726.39 and 39,584.41 is: 59,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,817.46 : 185,726.39 = 39,584.41 : x
  2. Step 2: Convert to fraction form
    123,817.46/185,726.39 = 39,584.41/x
  3. Step 3: Cross multiply
    123,817.46x = 185,726.39 × 39,584.41
  4. Step 4: Simplify right side
    123,817.46x = 7,351,868,907.34
  5. Step 5: Solve for x
    x = 7,351,868,907.34/123,817.46
  6. Step 6: Final answer
    x = 59,376.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.