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Finding the Fourth Proportional to 32,466.40, 48,675.60 and 16,895.20

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Solution

The fourth proportional to 32,466.40, 48,675.60 and 16,895.20 is: 25,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.40 : 48,675.60 = 16,895.20 : x
  2. Step 2: Convert to fraction form
    32,466.40/48,675.60 = 16,895.20/x
  3. Step 3: Cross multiply
    32,466.40x = 48,675.60 × 16,895.20
  4. Step 4: Simplify right side
    32,466.40x = 822,383,997.12
  5. Step 5: Solve for x
    x = 822,383,997.12/32,466.40
  6. Step 6: Final answer
    x = 25,330.31

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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.