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Finding the Fourth Proportional to 110,459.88, 165,596.22 and 48,082.92

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Solution

The fourth proportional to 110,459.88, 165,596.22 and 48,082.92 is: 72,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,459.88 : 165,596.22 = 48,082.92 : x
  2. Step 2: Convert to fraction form
    110,459.88/165,596.22 = 48,082.92/x
  3. Step 3: Cross multiply
    110,459.88x = 165,596.22 × 48,082.92
  4. Step 4: Simplify right side
    110,459.88x = 7,962,349,798.56
  5. Step 5: Solve for x
    x = 7,962,349,798.56/110,459.88
  6. Step 6: Final answer
    x = 72,083.64

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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.