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Finding the Fourth Proportional to 30,525.50, 45,789.12 and 9,749

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Solution

The fourth proportional to 30,525.50, 45,789.12 and 9,749 is: 14,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525.50 : 45,789.12 = 9,749 : x
  2. Step 2: Convert to fraction form
    30,525.50/45,789.12 = 9,749/x
  3. Step 3: Cross multiply
    30,525.50x = 45,789.12 × 9,749
  4. Step 4: Simplify right side
    30,525.50x = 446,398,130.88
  5. Step 5: Solve for x
    x = 446,398,130.88/30,525.50
  6. Step 6: Final answer
    x = 14,623.78

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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.