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Finding the Fourth Proportional to 32,105.30, 48,158.10 and 11,328.80

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Solution

The fourth proportional to 32,105.30, 48,158.10 and 11,328.80 is: 16,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.30 : 48,158.10 = 11,328.80 : x
  2. Step 2: Convert to fraction form
    32,105.30/48,158.10 = 11,328.80/x
  3. Step 3: Cross multiply
    32,105.30x = 48,158.10 × 11,328.80
  4. Step 4: Simplify right side
    32,105.30x = 545,573,483.28
  5. Step 5: Solve for x
    x = 545,573,483.28/32,105.30
  6. Step 6: Final answer
    x = 16,993.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.