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Finding the Fourth Proportional to 32,000.80, 44,162.44 and 17,853.60

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Solution

The fourth proportional to 32,000.80, 44,162.44 and 17,853.60 is: 24,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.80 : 44,162.44 = 17,853.60 : x
  2. Step 2: Convert to fraction form
    32,000.80/44,162.44 = 17,853.60/x
  3. Step 3: Cross multiply
    32,000.80x = 44,162.44 × 17,853.60
  4. Step 4: Simplify right side
    32,000.80x = 788,458,538.78
  5. Step 5: Solve for x
    x = 788,458,538.78/32,000.80
  6. Step 6: Final answer
    x = 24,638.71

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1.5x scale

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.