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Finding the Fourth Proportional to 34,525.86, 51,789.96 and 9,563.88

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Solution

The fourth proportional to 34,525.86, 51,789.96 and 9,563.88 is: 14,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525.86 : 51,789.96 = 9,563.88 : x
  2. Step 2: Convert to fraction form
    34,525.86/51,789.96 = 9,563.88/x
  3. Step 3: Cross multiply
    34,525.86x = 51,789.96 × 9,563.88
  4. Step 4: Simplify right side
    34,525.86x = 495,312,962.64
  5. Step 5: Solve for x
    x = 495,312,962.64/34,525.86
  6. Step 6: Final answer
    x = 14,346.14

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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.