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Finding the Fourth Proportional to 61,102.42, 91,659.96 and 16,729.16

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Solution

The fourth proportional to 61,102.42, 91,659.96 and 16,729.16 is: 25,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,102.42 : 91,659.96 = 16,729.16 : x
  2. Step 2: Convert to fraction form
    61,102.42/91,659.96 = 16,729.16/x
  3. Step 3: Cross multiply
    61,102.42x = 91,659.96 × 16,729.16
  4. Step 4: Simplify right side
    61,102.42x = 1,533,394,365.58
  5. Step 5: Solve for x
    x = 1,533,394,365.58/61,102.42
  6. Step 6: Final answer
    x = 25,095.48

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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.