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Finding the Fourth Proportional to 61,933.73, 85,504.01 and 40,774.50

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Solution

The fourth proportional to 61,933.73, 85,504.01 and 40,774.50 is: 56,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,933.73 : 85,504.01 = 40,774.50 : x
  2. Step 2: Convert to fraction form
    61,933.73/85,504.01 = 40,774.50/x
  3. Step 3: Cross multiply
    61,933.73x = 85,504.01 × 40,774.50
  4. Step 4: Simplify right side
    61,933.73x = 3,486,383,051.87
  5. Step 5: Solve for x
    x = 3,486,383,051.87/61,933.73
  6. Step 6: Final answer
    x = 56,292.16

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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.