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Finding the Fourth Proportional to 74,614.58, 102,965.01 and 41,078.42

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Solution

The fourth proportional to 74,614.58, 102,965.01 and 41,078.42 is: 56,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.58 : 102,965.01 = 41,078.42 : x
  2. Step 2: Convert to fraction form
    74,614.58/102,965.01 = 41,078.42/x
  3. Step 3: Cross multiply
    74,614.58x = 102,965.01 × 41,078.42
  4. Step 4: Simplify right side
    74,614.58x = 4,229,639,926.08
  5. Step 5: Solve for x
    x = 4,229,639,926.08/74,614.58
  6. Step 6: Final answer
    x = 56,686.51

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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.