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Finding the Fourth Proportional to 30,449.12, 45,673.70 and 8,262.50

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Solution

The fourth proportional to 30,449.12, 45,673.70 and 8,262.50 is: 12,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449.12 : 45,673.70 = 8,262.50 : x
  2. Step 2: Convert to fraction form
    30,449.12/45,673.70 = 8,262.50/x
  3. Step 3: Cross multiply
    30,449.12x = 45,673.70 × 8,262.50
  4. Step 4: Simplify right side
    30,449.12x = 377,378,946.25
  5. Step 5: Solve for x
    x = 377,378,946.25/30,449.12
  6. Step 6: Final answer
    x = 12,393.76

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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.