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Finding the Fourth Proportional to 74,641.64, 103,000.72 and 41,107.64

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Solution

The fourth proportional to 74,641.64, 103,000.72 and 41,107.64 is: 56,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,641.64 : 103,000.72 = 41,107.64 : x
  2. Step 2: Convert to fraction form
    74,641.64/103,000.72 = 41,107.64/x
  3. Step 3: Cross multiply
    74,641.64x = 103,000.72 × 41,107.64
  4. Step 4: Simplify right side
    74,641.64x = 4,234,116,517.50
  5. Step 5: Solve for x
    x = 4,234,116,517.50/74,641.64
  6. Step 6: Final answer
    x = 56,725.93

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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.