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Finding the Fourth Proportional to 73,930.48, 102,026.16 and 41,225.64

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Solution

The fourth proportional to 73,930.48, 102,026.16 and 41,225.64 is: 56,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,930.48 : 102,026.16 = 41,225.64 : x
  2. Step 2: Convert to fraction form
    73,930.48/102,026.16 = 41,225.64/x
  3. Step 3: Cross multiply
    73,930.48x = 102,026.16 × 41,225.64
  4. Step 4: Simplify right side
    73,930.48x = 4,206,093,742.74
  5. Step 5: Solve for x
    x = 4,206,093,742.74/73,930.48
  6. Step 6: Final answer
    x = 56,892.55

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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.