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Finding the Fourth Proportional to 32,563.81, 48,858.68 and 13,847.95

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Solution

The fourth proportional to 32,563.81, 48,858.68 and 13,847.95 is: 20,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.81 : 48,858.68 = 13,847.95 : x
  2. Step 2: Convert to fraction form
    32,563.81/48,858.68 = 13,847.95/x
  3. Step 3: Cross multiply
    32,563.81x = 48,858.68 × 13,847.95
  4. Step 4: Simplify right side
    32,563.81x = 676,592,557.71
  5. Step 5: Solve for x
    x = 676,592,557.71/32,563.81
  6. Step 6: Final answer
    x = 20,777.44

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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.