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Finding the Fourth Proportional to 73,961.64, 102,067.10 and 42,133.52

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Solution

The fourth proportional to 73,961.64, 102,067.10 and 42,133.52 is: 58,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,961.64 : 102,067.10 = 42,133.52 : x
  2. Step 2: Convert to fraction form
    73,961.64/102,067.10 = 42,133.52/x
  3. Step 3: Cross multiply
    73,961.64x = 102,067.10 × 42,133.52
  4. Step 4: Simplify right side
    73,961.64x = 4,300,446,199.19
  5. Step 5: Solve for x
    x = 4,300,446,199.19/73,961.64
  6. Step 6: Final answer
    x = 58,144.28

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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.