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Finding the Fourth Proportional to 56,774.43, 78,348.74 and 32,914.94

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Solution

The fourth proportional to 56,774.43, 78,348.74 and 32,914.94 is: 45,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,774.43 : 78,348.74 = 32,914.94 : x
  2. Step 2: Convert to fraction form
    56,774.43/78,348.74 = 32,914.94/x
  3. Step 3: Cross multiply
    56,774.43x = 78,348.74 × 32,914.94
  4. Step 4: Simplify right side
    56,774.43x = 2,578,844,076.18
  5. Step 5: Solve for x
    x = 2,578,844,076.18/56,774.43
  6. Step 6: Final answer
    x = 45,422.63

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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.