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Finding the Fourth Proportional to 57,978.46, 80,018.72 and 32,486.54

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Solution

The fourth proportional to 57,978.46, 80,018.72 and 32,486.54 is: 44,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.46 : 80,018.72 = 32,486.54 : x
  2. Step 2: Convert to fraction form
    57,978.46/80,018.72 = 32,486.54/x
  3. Step 3: Cross multiply
    57,978.46x = 80,018.72 × 32,486.54
  4. Step 4: Simplify right side
    57,978.46x = 2,599,531,348.03
  5. Step 5: Solve for x
    x = 2,599,531,348.03/57,978.46
  6. Step 6: Final answer
    x = 44,836.16

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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.