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Finding the Fourth Proportional to 92,184, 138,276 and 26,520

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Solution

The fourth proportional to 92,184, 138,276 and 26,520 is: 39,780

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,184 : 138,276 = 26,520 : x
  2. Step 2: Convert to fraction form
    92,184/138,276 = 26,520/x
  3. Step 3: Cross multiply
    92,184x = 138,276 × 26,520
  4. Step 4: Simplify right side
    92,184x = 3,667,079,520
  5. Step 5: Solve for x
    x = 3,667,079,520/92,184
  6. Step 6: Final answer
    x = 39,780

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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.