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Finding the Fourth Proportional to 30,486.96, 45,699.04 and 17,311.50

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Solution

The fourth proportional to 30,486.96, 45,699.04 and 17,311.50 is: 25,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.96 : 45,699.04 = 17,311.50 : x
  2. Step 2: Convert to fraction form
    30,486.96/45,699.04 = 17,311.50/x
  3. Step 3: Cross multiply
    30,486.96x = 45,699.04 × 17,311.50
  4. Step 4: Simplify right side
    30,486.96x = 791,118,930.96
  5. Step 5: Solve for x
    x = 791,118,930.96/30,486.96
  6. Step 6: Final answer
    x = 25,949.42

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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.