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Finding the Fourth Proportional to 61,924.50, 85,478.04 and 36,774

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Solution

The fourth proportional to 61,924.50, 85,478.04 and 36,774 is: 50,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,924.50 : 85,478.04 = 36,774 : x
  2. Step 2: Convert to fraction form
    61,924.50/85,478.04 = 36,774/x
  3. Step 3: Cross multiply
    61,924.50x = 85,478.04 × 36,774
  4. Step 4: Simplify right side
    61,924.50x = 3,143,369,442.96
  5. Step 5: Solve for x
    x = 3,143,369,442.96/61,924.50
  6. Step 6: Final answer
    x = 50,761.32

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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.