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Finding the Fourth Proportional to 92,342.96, 127,383.36 and 61,768.88

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Solution

The fourth proportional to 92,342.96, 127,383.36 and 61,768.88 is: 85,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,342.96 : 127,383.36 = 61,768.88 : x
  2. Step 2: Convert to fraction form
    92,342.96/127,383.36 = 61,768.88/x
  3. Step 3: Cross multiply
    92,342.96x = 127,383.36 × 61,768.88
  4. Step 4: Simplify right side
    92,342.96x = 7,868,327,477.84
  5. Step 5: Solve for x
    x = 7,868,327,477.84/92,342.96
  6. Step 6: Final answer
    x = 85,207.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.