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Finding the Fourth Proportional to 92,437.57, 127,563.75 and 49,996

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Solution

The fourth proportional to 92,437.57, 127,563.75 and 49,996 is: 68,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,437.57 : 127,563.75 = 49,996 : x
  2. Step 2: Convert to fraction form
    92,437.57/127,563.75 = 49,996/x
  3. Step 3: Cross multiply
    92,437.57x = 127,563.75 × 49,996
  4. Step 4: Simplify right side
    92,437.57x = 6,377,677,245
  5. Step 5: Solve for x
    x = 6,377,677,245/92,437.57
  6. Step 6: Final answer
    x = 68,994.43

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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.