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Finding the Fourth Proportional to 74,057.84, 102,199.65 and 40,523.84

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Solution

The fourth proportional to 74,057.84, 102,199.65 and 40,523.84 is: 55,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,057.84 : 102,199.65 = 40,523.84 : x
  2. Step 2: Convert to fraction form
    74,057.84/102,199.65 = 40,523.84/x
  3. Step 3: Cross multiply
    74,057.84x = 102,199.65 × 40,523.84
  4. Step 4: Simplify right side
    74,057.84x = 4,141,522,264.66
  5. Step 5: Solve for x
    x = 4,141,522,264.66/74,057.84
  6. Step 6: Final answer
    x = 55,922.81

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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.