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Finding the Fourth Proportional to 64,005.60, 95,931.60 and 32,824.80

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Solution

The fourth proportional to 64,005.60, 95,931.60 and 32,824.80 is: 49,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,005.60 : 95,931.60 = 32,824.80 : x
  2. Step 2: Convert to fraction form
    64,005.60/95,931.60 = 32,824.80/x
  3. Step 3: Cross multiply
    64,005.60x = 95,931.60 × 32,824.80
  4. Step 4: Simplify right side
    64,005.60x = 3,148,935,583.68
  5. Step 5: Solve for x
    x = 3,148,935,583.68/64,005.60
  6. Step 6: Final answer
    x = 49,197.81

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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.