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Finding the Fourth Proportional to 76,993.17, 115,493.90 and 24,406.76

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Solution

The fourth proportional to 76,993.17, 115,493.90 and 24,406.76 is: 36,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993.17 : 115,493.90 = 24,406.76 : x
  2. Step 2: Convert to fraction form
    76,993.17/115,493.90 = 24,406.76/x
  3. Step 3: Cross multiply
    76,993.17x = 115,493.90 × 24,406.76
  4. Step 4: Simplify right side
    76,993.17x = 2,818,831,199.26
  5. Step 5: Solve for x
    x = 2,818,831,199.26/76,993.17
  6. Step 6: Final answer
    x = 36,611.44

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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.