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Finding the Fourth Proportional to 84,580.31, 126,830.73 and 49,051.73

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Solution

The fourth proportional to 84,580.31, 126,830.73 and 49,051.73 is: 73,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,580.31 : 126,830.73 = 49,051.73 : x
  2. Step 2: Convert to fraction form
    84,580.31/126,830.73 = 49,051.73/x
  3. Step 3: Cross multiply
    84,580.31x = 126,830.73 × 49,051.73
  4. Step 4: Simplify right side
    84,580.31x = 6,221,266,723.66
  5. Step 5: Solve for x
    x = 6,221,266,723.66/84,580.31
  6. Step 6: Final answer
    x = 73,554.55

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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.