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Finding the Fourth Proportional to 75,218, 103,800.84 and 41,227.58

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Solution

The fourth proportional to 75,218, 103,800.84 and 41,227.58 is: 56,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,218 : 103,800.84 = 41,227.58 : x
  2. Step 2: Convert to fraction form
    75,218/103,800.84 = 41,227.58/x
  3. Step 3: Cross multiply
    75,218x = 103,800.84 × 41,227.58
  4. Step 4: Simplify right side
    75,218x = 4,279,457,435.17
  5. Step 5: Solve for x
    x = 4,279,457,435.17/75,218
  6. Step 6: Final answer
    x = 56,894.06

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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.