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Finding the Fourth Proportional to 77,852.88, 116,691.84 and 33,500.52

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Solution

The fourth proportional to 77,852.88, 116,691.84 and 33,500.52 is: 50,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,852.88 : 116,691.84 = 33,500.52 : x
  2. Step 2: Convert to fraction form
    77,852.88/116,691.84 = 33,500.52/x
  3. Step 3: Cross multiply
    77,852.88x = 116,691.84 × 33,500.52
  4. Step 4: Simplify right side
    77,852.88x = 3,909,237,319.76
  5. Step 5: Solve for x
    x = 3,909,237,319.76/77,852.88
  6. Step 6: Final answer
    x = 50,213.14

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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.