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Finding the Fourth Proportional to 68,113.16, 94,004.46 and 41,255

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Solution

The fourth proportional to 68,113.16, 94,004.46 and 41,255 is: 56,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,113.16 : 94,004.46 = 41,255 : x
  2. Step 2: Convert to fraction form
    68,113.16/94,004.46 = 41,255/x
  3. Step 3: Cross multiply
    68,113.16x = 94,004.46 × 41,255
  4. Step 4: Simplify right side
    68,113.16x = 3,878,153,997.30
  5. Step 5: Solve for x
    x = 3,878,153,997.30/68,113.16
  6. Step 6: Final answer
    x = 56,936.93

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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.