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Finding the Fourth Proportional to 76,514.49, 114,708.56 and 33,789.49

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Solution

The fourth proportional to 76,514.49, 114,708.56 and 33,789.49 is: 50,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,514.49 : 114,708.56 = 33,789.49 : x
  2. Step 2: Convert to fraction form
    76,514.49/114,708.56 = 33,789.49/x
  3. Step 3: Cross multiply
    76,514.49x = 114,708.56 × 33,789.49
  4. Step 4: Simplify right side
    76,514.49x = 3,875,943,285.32
  5. Step 5: Solve for x
    x = 3,875,943,285.32/76,514.49
  6. Step 6: Final answer
    x = 50,656.33

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1.5x scale

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.