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Finding the Fourth Proportional to 32,194.40, 48,267.60 and 16,623.20

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Solution

The fourth proportional to 32,194.40, 48,267.60 and 16,623.20 is: 24,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.40 : 48,267.60 = 16,623.20 : x
  2. Step 2: Convert to fraction form
    32,194.40/48,267.60 = 16,623.20/x
  3. Step 3: Cross multiply
    32,194.40x = 48,267.60 × 16,623.20
  4. Step 4: Simplify right side
    32,194.40x = 802,361,968.32
  5. Step 5: Solve for x
    x = 802,361,968.32/32,194.40
  6. Step 6: Final answer
    x = 24,922.41

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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.