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Finding the Fourth Proportional to 61,924.68, 85,477.86 and 36,774

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Solution

The fourth proportional to 61,924.68, 85,477.86 and 36,774 is: 50,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,924.68 : 85,477.86 = 36,774 : x
  2. Step 2: Convert to fraction form
    61,924.68/85,477.86 = 36,774/x
  3. Step 3: Cross multiply
    61,924.68x = 85,477.86 × 36,774
  4. Step 4: Simplify right side
    61,924.68x = 3,143,362,823.64
  5. Step 5: Solve for x
    x = 3,143,362,823.64/61,924.68
  6. Step 6: Final answer
    x = 50,761.07

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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.