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Finding the Fourth Proportional to 123,422.14, 185,133.81 and 29,927.86

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Solution

The fourth proportional to 123,422.14, 185,133.81 and 29,927.86 is: 44,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,422.14 : 185,133.81 = 29,927.86 : x
  2. Step 2: Convert to fraction form
    123,422.14/185,133.81 = 29,927.86/x
  3. Step 3: Cross multiply
    123,422.14x = 185,133.81 × 29,927.86
  4. Step 4: Simplify right side
    123,422.14x = 5,540,658,746.95
  5. Step 5: Solve for x
    x = 5,540,658,746.95/123,422.14
  6. Step 6: Final answer
    x = 44,891.94

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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.