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Finding the Fourth Proportional to 73,291.64, 101,142.42 and 41,459.88

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Solution

The fourth proportional to 73,291.64, 101,142.42 and 41,459.88 is: 57,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,291.64 : 101,142.42 = 41,459.88 : x
  2. Step 2: Convert to fraction form
    73,291.64/101,142.42 = 41,459.88/x
  3. Step 3: Cross multiply
    73,291.64x = 101,142.42 × 41,459.88
  4. Step 4: Simplify right side
    73,291.64x = 4,193,352,596.11
  5. Step 5: Solve for x
    x = 4,193,352,596.11/73,291.64
  6. Step 6: Final answer
    x = 57,214.61

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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.