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Finding the Fourth Proportional to 57,169.04, 78,893.16 and 32,018

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Solution

The fourth proportional to 57,169.04, 78,893.16 and 32,018 is: 44,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,169.04 : 78,893.16 = 32,018 : x
  2. Step 2: Convert to fraction form
    57,169.04/78,893.16 = 32,018/x
  3. Step 3: Cross multiply
    57,169.04x = 78,893.16 × 32,018
  4. Step 4: Simplify right side
    57,169.04x = 2,526,001,196.88
  5. Step 5: Solve for x
    x = 2,526,001,196.88/57,169.04
  6. Step 6: Final answer
    x = 44,184.78

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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.