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Finding the Fourth Proportional to 32,166.50, 48,258.39 and 13,440.30

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Solution

The fourth proportional to 32,166.50, 48,258.39 and 13,440.30 is: 20,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,166.50 : 48,258.39 = 13,440.30 : x
  2. Step 2: Convert to fraction form
    32,166.50/48,258.39 = 13,440.30/x
  3. Step 3: Cross multiply
    32,166.50x = 48,258.39 × 13,440.30
  4. Step 4: Simplify right side
    32,166.50x = 648,607,239.12
  5. Step 5: Solve for x
    x = 648,607,239.12/32,166.50
  6. Step 6: Final answer
    x = 20,164.06

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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.