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Finding the Fourth Proportional to 106,984.82, 160,492.87 and 32,110.88

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Solution

The fourth proportional to 106,984.82, 160,492.87 and 32,110.88 is: 48,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984.82 : 160,492.87 = 32,110.88 : x
  2. Step 2: Convert to fraction form
    106,984.82/160,492.87 = 32,110.88/x
  3. Step 3: Cross multiply
    106,984.82x = 160,492.87 × 32,110.88
  4. Step 4: Simplify right side
    106,984.82x = 5,153,567,289.43
  5. Step 5: Solve for x
    x = 5,153,567,289.43/106,984.82
  6. Step 6: Final answer
    x = 48,171.01

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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.