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Finding the Fourth Proportional to 84,379.34, 126,506.48 and 51,091.58

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Solution

The fourth proportional to 84,379.34, 126,506.48 and 51,091.58 is: 76,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,379.34 : 126,506.48 = 51,091.58 : x
  2. Step 2: Convert to fraction form
    84,379.34/126,506.48 = 51,091.58/x
  3. Step 3: Cross multiply
    84,379.34x = 126,506.48 × 51,091.58
  4. Step 4: Simplify right side
    84,379.34x = 6,463,415,055.45
  5. Step 5: Solve for x
    x = 6,463,415,055.45/84,379.34
  6. Step 6: Final answer
    x = 76,599.50

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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.