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Finding the Fourth Proportional to 32,308, 48,462 and 8,615.62

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Solution

The fourth proportional to 32,308, 48,462 and 8,615.62 is: 12,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308 : 48,462 = 8,615.62 : x
  2. Step 2: Convert to fraction form
    32,308/48,462 = 8,615.62/x
  3. Step 3: Cross multiply
    32,308x = 48,462 × 8,615.62
  4. Step 4: Simplify right side
    32,308x = 417,530,176.44
  5. Step 5: Solve for x
    x = 417,530,176.44/32,308
  6. Step 6: Final answer
    x = 12,923.43

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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.