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Finding the Fourth Proportional to 88,447.64, 132,671.16 and 35,857

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Solution

The fourth proportional to 88,447.64, 132,671.16 and 35,857 is: 53,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,447.64 : 132,671.16 = 35,857 : x
  2. Step 2: Convert to fraction form
    88,447.64/132,671.16 = 35,857/x
  3. Step 3: Cross multiply
    88,447.64x = 132,671.16 × 35,857
  4. Step 4: Simplify right side
    88,447.64x = 4,757,189,784.12
  5. Step 5: Solve for x
    x = 4,757,189,784.12/88,447.64
  6. Step 6: Final answer
    x = 53,785.38

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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.