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Finding the Fourth Proportional to 90,208.64, 135,325.92 and 27,884

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Solution

The fourth proportional to 90,208.64, 135,325.92 and 27,884 is: 41,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,208.64 : 135,325.92 = 27,884 : x
  2. Step 2: Convert to fraction form
    90,208.64/135,325.92 = 27,884/x
  3. Step 3: Cross multiply
    90,208.64x = 135,325.92 × 27,884
  4. Step 4: Simplify right side
    90,208.64x = 3,773,427,953.28
  5. Step 5: Solve for x
    x = 3,773,427,953.28/90,208.64
  6. Step 6: Final answer
    x = 41,830.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.