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Finding the Fourth Proportional to 122,385.36, 183,580.08 and 33,638.34

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Solution

The fourth proportional to 122,385.36, 183,580.08 and 33,638.34 is: 50,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,385.36 : 183,580.08 = 33,638.34 : x
  2. Step 2: Convert to fraction form
    122,385.36/183,580.08 = 33,638.34/x
  3. Step 3: Cross multiply
    122,385.36x = 183,580.08 × 33,638.34
  4. Step 4: Simplify right side
    122,385.36x = 6,175,329,148.27
  5. Step 5: Solve for x
    x = 6,175,329,148.27/122,385.36
  6. Step 6: Final answer
    x = 50,458.07

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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.