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Finding the Fourth Proportional to 41,157, 61,656.62 and 24,466.50

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Solution

The fourth proportional to 41,157, 61,656.62 and 24,466.50 is: 36,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,157 : 61,656.62 = 24,466.50 : x
  2. Step 2: Convert to fraction form
    41,157/61,656.62 = 24,466.50/x
  3. Step 3: Cross multiply
    41,157x = 61,656.62 × 24,466.50
  4. Step 4: Simplify right side
    41,157x = 1,508,521,570.90
  5. Step 5: Solve for x
    x = 1,508,521,570.90/41,157
  6. Step 6: Final answer
    x = 36,652.86

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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.