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Finding the Fourth Proportional to 104,447.77, 156,678.32 and 29,573.82

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Solution

The fourth proportional to 104,447.77, 156,678.32 and 29,573.82 is: 44,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,447.77 : 156,678.32 = 29,573.82 : x
  2. Step 2: Convert to fraction form
    104,447.77/156,678.32 = 29,573.82/x
  3. Step 3: Cross multiply
    104,447.77x = 156,678.32 × 29,573.82
  4. Step 4: Simplify right side
    104,447.77x = 4,633,576,285.71
  5. Step 5: Solve for x
    x = 4,633,576,285.71/104,447.77
  6. Step 6: Final answer
    x = 44,362.62

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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.