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Finding the Fourth Proportional to 52,141.80, 78,212.70 and 17,082.60

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Solution

The fourth proportional to 52,141.80, 78,212.70 and 17,082.60 is: 25,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,141.80 : 78,212.70 = 17,082.60 : x
  2. Step 2: Convert to fraction form
    52,141.80/78,212.70 = 17,082.60/x
  3. Step 3: Cross multiply
    52,141.80x = 78,212.70 × 17,082.60
  4. Step 4: Simplify right side
    52,141.80x = 1,336,076,269.02
  5. Step 5: Solve for x
    x = 1,336,076,269.02/52,141.80
  6. Step 6: Final answer
    x = 25,623.90

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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.