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Finding the Fourth Proportional to 56,638.25, 84,840.72 and 33,208.19

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Solution

The fourth proportional to 56,638.25, 84,840.72 and 33,208.19 is: 49,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,638.25 : 84,840.72 = 33,208.19 : x
  2. Step 2: Convert to fraction form
    56,638.25/84,840.72 = 33,208.19/x
  3. Step 3: Cross multiply
    56,638.25x = 84,840.72 × 33,208.19
  4. Step 4: Simplify right side
    56,638.25x = 2,817,406,749.50
  5. Step 5: Solve for x
    x = 2,817,406,749.50/56,638.25
  6. Step 6: Final answer
    x = 49,743.89

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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.