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Finding the Fourth Proportional to 32,013.64, 48,020.30 and 16,422.60

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Solution

The fourth proportional to 32,013.64, 48,020.30 and 16,422.60 is: 24,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.64 : 48,020.30 = 16,422.60 : x
  2. Step 2: Convert to fraction form
    32,013.64/48,020.30 = 16,422.60/x
  3. Step 3: Cross multiply
    32,013.64x = 48,020.30 × 16,422.60
  4. Step 4: Simplify right side
    32,013.64x = 788,618,178.78
  5. Step 5: Solve for x
    x = 788,618,178.78/32,013.64
  6. Step 6: Final answer
    x = 24,633.82

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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.