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Finding the Fourth Proportional to 122,491.93, 183,651.02 and 47,548.91

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Solution

The fourth proportional to 122,491.93, 183,651.02 and 47,548.91 is: 71,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,491.93 : 183,651.02 = 47,548.91 : x
  2. Step 2: Convert to fraction form
    122,491.93/183,651.02 = 47,548.91/x
  3. Step 3: Cross multiply
    122,491.93x = 183,651.02 × 47,548.91
  4. Step 4: Simplify right side
    122,491.93x = 8,732,405,799.85
  5. Step 5: Solve for x
    x = 8,732,405,799.85/122,491.93
  6. Step 6: Final answer
    x = 71,289.64

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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.