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Finding the Fourth Proportional to 76,500.35, 105,568.38 and 42,507.96

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Solution

The fourth proportional to 76,500.35, 105,568.38 and 42,507.96 is: 58,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,500.35 : 105,568.38 = 42,507.96 : x
  2. Step 2: Convert to fraction form
    76,500.35/105,568.38 = 42,507.96/x
  3. Step 3: Cross multiply
    76,500.35x = 105,568.38 × 42,507.96
  4. Step 4: Simplify right side
    76,500.35x = 4,487,496,474.30
  5. Step 5: Solve for x
    x = 4,487,496,474.30/76,500.35
  6. Step 6: Final answer
    x = 58,659.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.