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Finding the Fourth Proportional to 123,860.34, 185,790.51 and 49,936.50

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Solution

The fourth proportional to 123,860.34, 185,790.51 and 49,936.50 is: 74,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,860.34 : 185,790.51 = 49,936.50 : x
  2. Step 2: Convert to fraction form
    123,860.34/185,790.51 = 49,936.50/x
  3. Step 3: Cross multiply
    123,860.34x = 185,790.51 × 49,936.50
  4. Step 4: Simplify right side
    123,860.34x = 9,277,727,802.62
  5. Step 5: Solve for x
    x = 9,277,727,802.62/123,860.34
  6. Step 6: Final answer
    x = 74,904.75

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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.