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Finding the Fourth Proportional to 32,533.50, 44,895.85 and 17,629.50

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Solution

The fourth proportional to 32,533.50, 44,895.85 and 17,629.50 is: 24,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.50 : 44,895.85 = 17,629.50 : x
  2. Step 2: Convert to fraction form
    32,533.50/44,895.85 = 17,629.50/x
  3. Step 3: Cross multiply
    32,533.50x = 44,895.85 × 17,629.50
  4. Step 4: Simplify right side
    32,533.50x = 791,491,387.58
  5. Step 5: Solve for x
    x = 791,491,387.58/32,533.50
  6. Step 6: Final answer
    x = 24,328.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.