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Finding the Fourth Proportional to 76,553.68, 114,852.30 and 29,819.92

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Solution

The fourth proportional to 76,553.68, 114,852.30 and 29,819.92 is: 44,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,553.68 : 114,852.30 = 29,819.92 : x
  2. Step 2: Convert to fraction form
    76,553.68/114,852.30 = 29,819.92/x
  3. Step 3: Cross multiply
    76,553.68x = 114,852.30 × 29,819.92
  4. Step 4: Simplify right side
    76,553.68x = 3,424,886,397.82
  5. Step 5: Solve for x
    x = 3,424,886,397.82/76,553.68
  6. Step 6: Final answer
    x = 44,738.36

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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.