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Finding the Fourth Proportional to 61,842.57, 85,343.00 and 33,548.46

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Solution

The fourth proportional to 61,842.57, 85,343.00 and 33,548.46 is: 46,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.57 : 85,343.00 = 33,548.46 : x
  2. Step 2: Convert to fraction form
    61,842.57/85,343.00 = 33,548.46/x
  3. Step 3: Cross multiply
    61,842.57x = 85,343.00 × 33,548.46
  4. Step 4: Simplify right side
    61,842.57x = 2,863,126,054.04
  5. Step 5: Solve for x
    x = 2,863,126,054.04/61,842.57
  6. Step 6: Final answer
    x = 46,297.01

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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.