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Finding the Fourth Proportional to 61,842.93, 85,343.16 and 33,548.61

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Solution

The fourth proportional to 61,842.93, 85,343.16 and 33,548.61 is: 46,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.93 : 85,343.16 = 33,548.61 : x
  2. Step 2: Convert to fraction form
    61,842.93/85,343.16 = 33,548.61/x
  3. Step 3: Cross multiply
    61,842.93x = 85,343.16 × 33,548.61
  4. Step 4: Simplify right side
    61,842.93x = 2,863,144,391.01
  5. Step 5: Solve for x
    x = 2,863,144,391.01/61,842.93
  6. Step 6: Final answer
    x = 46,297.04

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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.