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Finding the Fourth Proportional to 61,842.42, 85,412.07 and 41,663.97

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Solution

The fourth proportional to 61,842.42, 85,412.07 and 41,663.97 is: 57,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.42 : 85,412.07 = 41,663.97 : x
  2. Step 2: Convert to fraction form
    61,842.42/85,412.07 = 41,663.97/x
  3. Step 3: Cross multiply
    61,842.42x = 85,412.07 × 41,663.97
  4. Step 4: Simplify right side
    61,842.42x = 3,558,605,922.12
  5. Step 5: Solve for x
    x = 3,558,605,922.12/61,842.42
  6. Step 6: Final answer
    x = 57,543.12

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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.