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Finding the Fourth Proportional to 30,188.45, 45,282.68 and 11,468.50

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Solution

The fourth proportional to 30,188.45, 45,282.68 and 11,468.50 is: 17,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.45 : 45,282.68 = 11,468.50 : x
  2. Step 2: Convert to fraction form
    30,188.45/45,282.68 = 11,468.50/x
  3. Step 3: Cross multiply
    30,188.45x = 45,282.68 × 11,468.50
  4. Step 4: Simplify right side
    30,188.45x = 519,324,415.58
  5. Step 5: Solve for x
    x = 519,324,415.58/30,188.45
  6. Step 6: Final answer
    x = 17,202.75

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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.