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Finding the Fourth Proportional to 92,824.45, 128,094.31 and 50,382.07

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Solution

The fourth proportional to 92,824.45, 128,094.31 and 50,382.07 is: 69,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,824.45 : 128,094.31 = 50,382.07 : x
  2. Step 2: Convert to fraction form
    92,824.45/128,094.31 = 50,382.07/x
  3. Step 3: Cross multiply
    92,824.45x = 128,094.31 × 50,382.07
  4. Step 4: Simplify right side
    92,824.45x = 6,453,656,046.83
  5. Step 5: Solve for x
    x = 6,453,656,046.83/92,824.45
  6. Step 6: Final answer
    x = 69,525.39

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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.