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Finding the Fourth Proportional to 32,169, 48,269.96 and 15,321.06

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Solution

The fourth proportional to 32,169, 48,269.96 and 15,321.06 is: 22,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169 : 48,269.96 = 15,321.06 : x
  2. Step 2: Convert to fraction form
    32,169/48,269.96 = 15,321.06/x
  3. Step 3: Cross multiply
    32,169x = 48,269.96 × 15,321.06
  4. Step 4: Simplify right side
    32,169x = 739,546,876.75
  5. Step 5: Solve for x
    x = 739,546,876.75/32,169
  6. Step 6: Final answer
    x = 22,989.43

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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.