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Finding the Fourth Proportional to 30,145.73, 45,193.08 and 11,415.44

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Solution

The fourth proportional to 30,145.73, 45,193.08 and 11,415.44 is: 17,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.73 : 45,193.08 = 11,415.44 : x
  2. Step 2: Convert to fraction form
    30,145.73/45,193.08 = 11,415.44/x
  3. Step 3: Cross multiply
    30,145.73x = 45,193.08 × 11,415.44
  4. Step 4: Simplify right side
    30,145.73x = 515,898,864.62
  5. Step 5: Solve for x
    x = 515,898,864.62/30,145.73
  6. Step 6: Final answer
    x = 17,113.50

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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.