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Finding the Fourth Proportional to 76,595.94, 105,659.19 and 45,961.11

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Solution

The fourth proportional to 76,595.94, 105,659.19 and 45,961.11 is: 63,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,595.94 : 105,659.19 = 45,961.11 : x
  2. Step 2: Convert to fraction form
    76,595.94/105,659.19 = 45,961.11/x
  3. Step 3: Cross multiply
    76,595.94x = 105,659.19 × 45,961.11
  4. Step 4: Simplify right side
    76,595.94x = 4,856,213,654.10
  5. Step 5: Solve for x
    x = 4,856,213,654.10/76,595.94
  6. Step 6: Final answer
    x = 63,400.41

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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.