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Finding the Fourth Proportional to 74,633.64, 102,989.72 and 41,099.64

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Solution

The fourth proportional to 74,633.64, 102,989.72 and 41,099.64 is: 56,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,633.64 : 102,989.72 = 41,099.64 : x
  2. Step 2: Convert to fraction form
    74,633.64/102,989.72 = 41,099.64/x
  3. Step 3: Cross multiply
    74,633.64x = 102,989.72 × 41,099.64
  4. Step 4: Simplify right side
    74,633.64x = 4,232,840,415.70
  5. Step 5: Solve for x
    x = 4,232,840,415.70/74,633.64
  6. Step 6: Final answer
    x = 56,714.91

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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.