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Finding the Fourth Proportional to 32,082.50, 48,122.94 and 8,708.33

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Solution

The fourth proportional to 32,082.50, 48,122.94 and 8,708.33 is: 13,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.50 : 48,122.94 = 8,708.33 : x
  2. Step 2: Convert to fraction form
    32,082.50/48,122.94 = 8,708.33/x
  3. Step 3: Cross multiply
    32,082.50x = 48,122.94 × 8,708.33
  4. Step 4: Simplify right side
    32,082.50x = 419,070,442.09
  5. Step 5: Solve for x
    x = 419,070,442.09/32,082.50
  6. Step 6: Final answer
    x = 13,062.28

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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.