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Finding the Fourth Proportional to 76,742.67, 115,129.62 and 32,369.58

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Solution

The fourth proportional to 76,742.67, 115,129.62 and 32,369.58 is: 48,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,742.67 : 115,129.62 = 32,369.58 : x
  2. Step 2: Convert to fraction form
    76,742.67/115,129.62 = 32,369.58/x
  3. Step 3: Cross multiply
    76,742.67x = 115,129.62 × 32,369.58
  4. Step 4: Simplify right side
    76,742.67x = 3,726,697,444.96
  5. Step 5: Solve for x
    x = 3,726,697,444.96/76,742.67
  6. Step 6: Final answer
    x = 48,560.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.