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Finding the Fourth Proportional to 84,506.64, 126,821.01 and 33,222.93

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Solution

The fourth proportional to 84,506.64, 126,821.01 and 33,222.93 is: 49,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,506.64 : 126,821.01 = 33,222.93 : x
  2. Step 2: Convert to fraction form
    84,506.64/126,821.01 = 33,222.93/x
  3. Step 3: Cross multiply
    84,506.64x = 126,821.01 × 33,222.93
  4. Step 4: Simplify right side
    84,506.64x = 4,213,365,537.76
  5. Step 5: Solve for x
    x = 4,213,365,537.76/84,506.64
  6. Step 6: Final answer
    x = 49,858.40

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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.