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Finding the Fourth Proportional to 32,579.41, 48,868.98 and 9,205.78

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Solution

The fourth proportional to 32,579.41, 48,868.98 and 9,205.78 is: 13,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,579.41 : 48,868.98 = 9,205.78 : x
  2. Step 2: Convert to fraction form
    32,579.41/48,868.98 = 9,205.78/x
  3. Step 3: Cross multiply
    32,579.41x = 48,868.98 × 9,205.78
  4. Step 4: Simplify right side
    32,579.41x = 449,877,078.70
  5. Step 5: Solve for x
    x = 449,877,078.70/32,579.41
  6. Step 6: Final answer
    x = 13,808.63

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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.