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Finding the Fourth Proportional to 76,020.96, 114,058.60 and 33,897.27

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Solution

The fourth proportional to 76,020.96, 114,058.60 and 33,897.27 is: 50,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,020.96 : 114,058.60 = 33,897.27 : x
  2. Step 2: Convert to fraction form
    76,020.96/114,058.60 = 33,897.27/x
  3. Step 3: Cross multiply
    76,020.96x = 114,058.60 × 33,897.27
  4. Step 4: Simplify right side
    76,020.96x = 3,866,275,160.02
  5. Step 5: Solve for x
    x = 3,866,275,160.02/76,020.96
  6. Step 6: Final answer
    x = 50,858.02

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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.