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Finding the Fourth Proportional to 76,736.94, 105,901.84 and 43,205.10

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Solution

The fourth proportional to 76,736.94, 105,901.84 and 43,205.10 is: 59,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,736.94 : 105,901.84 = 43,205.10 : x
  2. Step 2: Convert to fraction form
    76,736.94/105,901.84 = 43,205.10/x
  3. Step 3: Cross multiply
    76,736.94x = 105,901.84 × 43,205.10
  4. Step 4: Simplify right side
    76,736.94x = 4,575,499,587.38
  5. Step 5: Solve for x
    x = 4,575,499,587.38/76,736.94
  6. Step 6: Final answer
    x = 59,625.78

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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.