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Finding the Fourth Proportional to 32,441.76, 48,662.64 and 12,729.60

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Solution

The fourth proportional to 32,441.76, 48,662.64 and 12,729.60 is: 19,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.76 : 48,662.64 = 12,729.60 : x
  2. Step 2: Convert to fraction form
    32,441.76/48,662.64 = 12,729.60/x
  3. Step 3: Cross multiply
    32,441.76x = 48,662.64 × 12,729.60
  4. Step 4: Simplify right side
    32,441.76x = 619,455,942.14
  5. Step 5: Solve for x
    x = 619,455,942.14/32,441.76
  6. Step 6: Final answer
    x = 19,094.40

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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.