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Finding the Fourth Proportional to 92,824.01, 128,097.38 and 50,382.54

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Solution

The fourth proportional to 92,824.01, 128,097.38 and 50,382.54 is: 69,528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,824.01 : 128,097.38 = 50,382.54 : x
  2. Step 2: Convert to fraction form
    92,824.01/128,097.38 = 50,382.54/x
  3. Step 3: Cross multiply
    92,824.01x = 128,097.38 × 50,382.54
  4. Step 4: Simplify right side
    92,824.01x = 6,453,871,371.75
  5. Step 5: Solve for x
    x = 6,453,871,371.75/92,824.01
  6. Step 6: Final answer
    x = 69,528.04

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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.