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Finding the Fourth Proportional to 104,097.84, 156,123.40 and 47,883.96

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Solution

The fourth proportional to 104,097.84, 156,123.40 and 47,883.96 is: 71,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,097.84 : 156,123.40 = 47,883.96 : x
  2. Step 2: Convert to fraction form
    104,097.84/156,123.40 = 47,883.96/x
  3. Step 3: Cross multiply
    104,097.84x = 156,123.40 × 47,883.96
  4. Step 4: Simplify right side
    104,097.84x = 7,475,806,640.66
  5. Step 5: Solve for x
    x = 7,475,806,640.66/104,097.84
  6. Step 6: Final answer
    x = 71,815.19

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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.