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Finding the Fourth Proportional to 92,340, 138,460.72 and 47,922.04

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Solution

The fourth proportional to 92,340, 138,460.72 and 47,922.04 is: 71,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,340 : 138,460.72 = 47,922.04 : x
  2. Step 2: Convert to fraction form
    92,340/138,460.72 = 47,922.04/x
  3. Step 3: Cross multiply
    92,340x = 138,460.72 × 47,922.04
  4. Step 4: Simplify right side
    92,340x = 6,635,320,162.27
  5. Step 5: Solve for x
    x = 6,635,320,162.27/92,340
  6. Step 6: Final answer
    x = 71,857.48

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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.