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Finding the Fourth Proportional to 95,842.80, 143,771.64 and 32,643.44

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Solution

The fourth proportional to 95,842.80, 143,771.64 and 32,643.44 is: 48,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,842.80 : 143,771.64 = 32,643.44 : x
  2. Step 2: Convert to fraction form
    95,842.80/143,771.64 = 32,643.44/x
  3. Step 3: Cross multiply
    95,842.80x = 143,771.64 × 32,643.44
  4. Step 4: Simplify right side
    95,842.80x = 4,693,200,904.04
  5. Step 5: Solve for x
    x = 4,693,200,904.04/95,842.80
  6. Step 6: Final answer
    x = 48,967.69

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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.