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Finding the Fourth Proportional to 30,513.65, 45,777.42 and 11,793.87

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Solution

The fourth proportional to 30,513.65, 45,777.42 and 11,793.87 is: 17,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.65 : 45,777.42 = 11,793.87 : x
  2. Step 2: Convert to fraction form
    30,513.65/45,777.42 = 11,793.87/x
  3. Step 3: Cross multiply
    30,513.65x = 45,777.42 × 11,793.87
  4. Step 4: Simplify right side
    30,513.65x = 539,892,940.42
  5. Step 5: Solve for x
    x = 539,892,940.42/30,513.65
  6. Step 6: Final answer
    x = 17,693.49

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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.