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Finding the Fourth Proportional to 41,185, 61,860.16 and 24,577.44

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Solution

The fourth proportional to 41,185, 61,860.16 and 24,577.44 is: 36,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,185 : 61,860.16 = 24,577.44 : x
  2. Step 2: Convert to fraction form
    41,185/61,860.16 = 24,577.44/x
  3. Step 3: Cross multiply
    41,185x = 61,860.16 × 24,577.44
  4. Step 4: Simplify right side
    41,185x = 1,520,364,370.79
  5. Step 5: Solve for x
    x = 1,520,364,370.79/41,185
  6. Step 6: Final answer
    x = 36,915.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.