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Finding the Fourth Proportional to 74,056, 102,199.44 and 40,524.16

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Solution

The fourth proportional to 74,056, 102,199.44 and 40,524.16 is: 55,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,056 : 102,199.44 = 40,524.16 : x
  2. Step 2: Convert to fraction form
    74,056/102,199.44 = 40,524.16/x
  3. Step 3: Cross multiply
    74,056x = 102,199.44 × 40,524.16
  4. Step 4: Simplify right side
    74,056x = 4,141,546,458.47
  5. Step 5: Solve for x
    x = 4,141,546,458.47/74,056
  6. Step 6: Final answer
    x = 55,924.52

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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.