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Finding the Fourth Proportional to 30,204.50, 45,262.95 and 17,028.86

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Solution

The fourth proportional to 30,204.50, 45,262.95 and 17,028.86 is: 25,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.50 : 45,262.95 = 17,028.86 : x
  2. Step 2: Convert to fraction form
    30,204.50/45,262.95 = 17,028.86/x
  3. Step 3: Cross multiply
    30,204.50x = 45,262.95 × 17,028.86
  4. Step 4: Simplify right side
    30,204.50x = 770,776,438.74
  5. Step 5: Solve for x
    x = 770,776,438.74/30,204.50
  6. Step 6: Final answer
    x = 25,518.60

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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.