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Finding the Fourth Proportional to 92,494.89, 127,643.85 and 50,054.31

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Solution

The fourth proportional to 92,494.89, 127,643.85 and 50,054.31 is: 69,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,494.89 : 127,643.85 = 50,054.31 : x
  2. Step 2: Convert to fraction form
    92,494.89/127,643.85 = 50,054.31/x
  3. Step 3: Cross multiply
    92,494.89x = 127,643.85 × 50,054.31
  4. Step 4: Simplify right side
    92,494.89x = 6,389,124,837.49
  5. Step 5: Solve for x
    x = 6,389,124,837.49/92,494.89
  6. Step 6: Final answer
    x = 69,075.44

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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.