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Finding the Fourth Proportional to 30,536.94, 45,737.73 and 23,464.89

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Solution

The fourth proportional to 30,536.94, 45,737.73 and 23,464.89 is: 35,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536.94 : 45,737.73 = 23,464.89 : x
  2. Step 2: Convert to fraction form
    30,536.94/45,737.73 = 23,464.89/x
  3. Step 3: Cross multiply
    30,536.94x = 45,737.73 × 23,464.89
  4. Step 4: Simplify right side
    30,536.94x = 1,073,230,803.30
  5. Step 5: Solve for x
    x = 1,073,230,803.30/30,536.94
  6. Step 6: Final answer
    x = 35,145.33

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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.