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Finding the Fourth Proportional to 52,082.50, 78,079.94 and 42,197.26

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Solution

The fourth proportional to 52,082.50, 78,079.94 and 42,197.26 is: 63,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082.50 : 78,079.94 = 42,197.26 : x
  2. Step 2: Convert to fraction form
    52,082.50/78,079.94 = 42,197.26/x
  3. Step 3: Cross multiply
    52,082.50x = 78,079.94 × 42,197.26
  4. Step 4: Simplify right side
    52,082.50x = 3,294,759,528.96
  5. Step 5: Solve for x
    x = 3,294,759,528.96/52,082.50
  6. Step 6: Final answer
    x = 63,260.40

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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.