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Finding the Fourth Proportional to 32,083.20, 48,124.80 and 16,531.20

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Solution

The fourth proportional to 32,083.20, 48,124.80 and 16,531.20 is: 24,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.20 : 48,124.80 = 16,531.20 : x
  2. Step 2: Convert to fraction form
    32,083.20/48,124.80 = 16,531.20/x
  3. Step 3: Cross multiply
    32,083.20x = 48,124.80 × 16,531.20
  4. Step 4: Simplify right side
    32,083.20x = 795,560,693.76
  5. Step 5: Solve for x
    x = 795,560,693.76/32,083.20
  6. Step 6: Final answer
    x = 24,796.80

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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.