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Finding the Fourth Proportional to 74,612.88, 102,967.20 and 41,078.88

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Solution

The fourth proportional to 74,612.88, 102,967.20 and 41,078.88 is: 56,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,612.88 : 102,967.20 = 41,078.88 : x
  2. Step 2: Convert to fraction form
    74,612.88/102,967.20 = 41,078.88/x
  3. Step 3: Cross multiply
    74,612.88x = 102,967.20 × 41,078.88
  4. Step 4: Simplify right side
    74,612.88x = 4,229,777,252.74
  5. Step 5: Solve for x
    x = 4,229,777,252.74/74,612.88
  6. Step 6: Final answer
    x = 56,689.64

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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.