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Finding the Fourth Proportional to 39,178.32, 54,027 and 25,026

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Solution

The fourth proportional to 39,178.32, 54,027 and 25,026 is: 34,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178.32 : 54,027 = 25,026 : x
  2. Step 2: Convert to fraction form
    39,178.32/54,027 = 25,026/x
  3. Step 3: Cross multiply
    39,178.32x = 54,027 × 25,026
  4. Step 4: Simplify right side
    39,178.32x = 1,352,079,702
  5. Step 5: Solve for x
    x = 1,352,079,702/39,178.32
  6. Step 6: Final answer
    x = 34,510.92

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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.