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Finding the Fourth Proportional to 34,082, 47,033.16 and 19,178.32

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Solution

The fourth proportional to 34,082, 47,033.16 and 19,178.32 is: 26,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,082 : 47,033.16 = 19,178.32 : x
  2. Step 2: Convert to fraction form
    34,082/47,033.16 = 19,178.32/x
  3. Step 3: Cross multiply
    34,082x = 47,033.16 × 19,178.32
  4. Step 4: Simplify right side
    34,082x = 902,016,993.09
  5. Step 5: Solve for x
    x = 902,016,993.09/34,082
  6. Step 6: Final answer
    x = 26,466.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.