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Finding the Fourth Proportional to 77,455.31, 116,180.53 and 22,051.31

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Solution

The fourth proportional to 77,455.31, 116,180.53 and 22,051.31 is: 33,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,455.31 : 116,180.53 = 22,051.31 : x
  2. Step 2: Convert to fraction form
    77,455.31/116,180.53 = 22,051.31/x
  3. Step 3: Cross multiply
    77,455.31x = 116,180.53 × 22,051.31
  4. Step 4: Simplify right side
    77,455.31x = 2,561,932,246.96
  5. Step 5: Solve for x
    x = 2,561,932,246.96/77,455.31
  6. Step 6: Final answer
    x = 33,076.27

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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.