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Finding the Fourth Proportional to 74,057.63, 102,199.59 and 40,523.63

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Solution

The fourth proportional to 74,057.63, 102,199.59 and 40,523.63 is: 55,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,057.63 : 102,199.59 = 40,523.63 : x
  2. Step 2: Convert to fraction form
    74,057.63/102,199.59 = 40,523.63/x
  3. Step 3: Cross multiply
    74,057.63x = 102,199.59 × 40,523.63
  4. Step 4: Simplify right side
    74,057.63x = 4,141,497,860.31
  5. Step 5: Solve for x
    x = 4,141,497,860.31/74,057.63
  6. Step 6: Final answer
    x = 55,922.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.