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Finding the Fourth Proportional to 32,073.60, 48,115.92 and 11,012.64

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Solution

The fourth proportional to 32,073.60, 48,115.92 and 11,012.64 is: 16,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,073.60 : 48,115.92 = 11,012.64 : x
  2. Step 2: Convert to fraction form
    32,073.60/48,115.92 = 11,012.64/x
  3. Step 3: Cross multiply
    32,073.60x = 48,115.92 × 11,012.64
  4. Step 4: Simplify right side
    32,073.60x = 529,883,305.23
  5. Step 5: Solve for x
    x = 529,883,305.23/32,073.60
  6. Step 6: Final answer
    x = 16,520.86

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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.