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Finding the Fourth Proportional to 92,446.63, 127,580.00 and 54,200.86

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Solution

The fourth proportional to 92,446.63, 127,580.00 and 54,200.86 is: 74,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,446.63 : 127,580.00 = 54,200.86 : x
  2. Step 2: Convert to fraction form
    92,446.63/127,580.00 = 54,200.86/x
  3. Step 3: Cross multiply
    92,446.63x = 127,580.00 × 54,200.86
  4. Step 4: Simplify right side
    92,446.63x = 6,914,945,846.48
  5. Step 5: Solve for x
    x = 6,914,945,846.48/92,446.63
  6. Step 6: Final answer
    x = 74,799.33

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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.