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Finding the Fourth Proportional to 57,235.48, 78,978.56 and 32,084.44

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Solution

The fourth proportional to 57,235.48, 78,978.56 and 32,084.44 is: 44,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,235.48 : 78,978.56 = 32,084.44 : x
  2. Step 2: Convert to fraction form
    57,235.48/78,978.56 = 32,084.44/x
  3. Step 3: Cross multiply
    57,235.48x = 78,978.56 × 32,084.44
  4. Step 4: Simplify right side
    57,235.48x = 2,533,982,869.61
  5. Step 5: Solve for x
    x = 2,533,982,869.61/57,235.48
  6. Step 6: Final answer
    x = 44,272.94

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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.