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Finding the Fourth Proportional to 34,525.50, 51,789.36 and 9,565.78

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Solution

The fourth proportional to 34,525.50, 51,789.36 and 9,565.78 is: 14,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525.50 : 51,789.36 = 9,565.78 : x
  2. Step 2: Convert to fraction form
    34,525.50/51,789.36 = 9,565.78/x
  3. Step 3: Cross multiply
    34,525.50x = 51,789.36 × 9,565.78
  4. Step 4: Simplify right side
    34,525.50x = 495,405,624.10
  5. Step 5: Solve for x
    x = 495,405,624.10/34,525.50
  6. Step 6: Final answer
    x = 14,348.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.