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Finding the Fourth Proportional to 104,097, 156,193.88 and 33,030.84

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Solution

The fourth proportional to 104,097, 156,193.88 and 33,030.84 is: 49,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,097 : 156,193.88 = 33,030.84 : x
  2. Step 2: Convert to fraction form
    104,097/156,193.88 = 33,030.84/x
  3. Step 3: Cross multiply
    104,097x = 156,193.88 × 33,030.84
  4. Step 4: Simplify right side
    104,097x = 5,159,215,059.26
  5. Step 5: Solve for x
    x = 5,159,215,059.26/104,097
  6. Step 6: Final answer
    x = 49,561.61

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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.