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Finding the Fourth Proportional to 92,164.23, 138,333.02 and 47,822.40

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Solution

The fourth proportional to 92,164.23, 138,333.02 and 47,822.40 is: 71,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,164.23 : 138,333.02 = 47,822.40 : x
  2. Step 2: Convert to fraction form
    92,164.23/138,333.02 = 47,822.40/x
  3. Step 3: Cross multiply
    92,164.23x = 138,333.02 × 47,822.40
  4. Step 4: Simplify right side
    92,164.23x = 6,615,416,776.54
  5. Step 5: Solve for x
    x = 6,615,416,776.54/92,164.23
  6. Step 6: Final answer
    x = 71,778.57

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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.