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Finding the Fourth Proportional to 68,201.86, 94,123.29 and 41,345.50

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Solution

The fourth proportional to 68,201.86, 94,123.29 and 41,345.50 is: 57,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,201.86 : 94,123.29 = 41,345.50 : x
  2. Step 2: Convert to fraction form
    68,201.86/94,123.29 = 41,345.50/x
  3. Step 3: Cross multiply
    68,201.86x = 94,123.29 × 41,345.50
  4. Step 4: Simplify right side
    68,201.86x = 3,891,574,406.43
  5. Step 5: Solve for x
    x = 3,891,574,406.43/68,201.86
  6. Step 6: Final answer
    x = 57,059.65

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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.