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Finding the Fourth Proportional to 32,172.60, 48,230.10 and 12,444.60

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Solution

The fourth proportional to 32,172.60, 48,230.10 and 12,444.60 is: 18,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.60 : 48,230.10 = 12,444.60 : x
  2. Step 2: Convert to fraction form
    32,172.60/48,230.10 = 12,444.60/x
  3. Step 3: Cross multiply
    32,172.60x = 48,230.10 × 12,444.60
  4. Step 4: Simplify right side
    32,172.60x = 600,204,302.46
  5. Step 5: Solve for x
    x = 600,204,302.46/32,172.60
  6. Step 6: Final answer
    x = 18,655.76

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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.