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Finding the Fourth Proportional to 103,983, 155,974.40 and 40,832.88

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Solution

The fourth proportional to 103,983, 155,974.40 and 40,832.88 is: 61,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983 : 155,974.40 = 40,832.88 : x
  2. Step 2: Convert to fraction form
    103,983/155,974.40 = 40,832.88/x
  3. Step 3: Cross multiply
    103,983x = 155,974.40 × 40,832.88
  4. Step 4: Simplify right side
    103,983x = 6,368,883,958.27
  5. Step 5: Solve for x
    x = 6,368,883,958.27/103,983
  6. Step 6: Final answer
    x = 61,249.28

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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.