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Finding the Fourth Proportional to 75,263.94, 103,863.38 and 43,432.16

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Solution

The fourth proportional to 75,263.94, 103,863.38 and 43,432.16 is: 59,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,263.94 : 103,863.38 = 43,432.16 : x
  2. Step 2: Convert to fraction form
    75,263.94/103,863.38 = 43,432.16/x
  3. Step 3: Cross multiply
    75,263.94x = 103,863.38 × 43,432.16
  4. Step 4: Simplify right side
    75,263.94x = 4,511,010,446.13
  5. Step 5: Solve for x
    x = 4,511,010,446.13/75,263.94
  6. Step 6: Final answer
    x = 59,935.88

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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.