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Finding the Fourth Proportional to 104,083.77, 156,021.53 and 47,964.41

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Solution

The fourth proportional to 104,083.77, 156,021.53 and 47,964.41 is: 71,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,083.77 : 156,021.53 = 47,964.41 : x
  2. Step 2: Convert to fraction form
    104,083.77/156,021.53 = 47,964.41/x
  3. Step 3: Cross multiply
    104,083.77x = 156,021.53 × 47,964.41
  4. Step 4: Simplify right side
    104,083.77x = 7,483,479,613.82
  5. Step 5: Solve for x
    x = 7,483,479,613.82/104,083.77
  6. Step 6: Final answer
    x = 71,898.62

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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.