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Finding the Fourth Proportional to 122,469.55, 183,715.94 and 47,595.48

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Solution

The fourth proportional to 122,469.55, 183,715.94 and 47,595.48 is: 71,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,469.55 : 183,715.94 = 47,595.48 : x
  2. Step 2: Convert to fraction form
    122,469.55/183,715.94 = 47,595.48/x
  3. Step 3: Cross multiply
    122,469.55x = 183,715.94 × 47,595.48
  4. Step 4: Simplify right side
    122,469.55x = 8,744,047,599.52
  5. Step 5: Solve for x
    x = 8,744,047,599.52/122,469.55
  6. Step 6: Final answer
    x = 71,397.73

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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.