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Finding the Fourth Proportional to 85,214.75, 117,596.34 and 46,974.93

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Solution

The fourth proportional to 85,214.75, 117,596.34 and 46,974.93 is: 64,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214.75 : 117,596.34 = 46,974.93 : x
  2. Step 2: Convert to fraction form
    85,214.75/117,596.34 = 46,974.93/x
  3. Step 3: Cross multiply
    85,214.75x = 117,596.34 × 46,974.93
  4. Step 4: Simplify right side
    85,214.75x = 5,524,079,839.76
  5. Step 5: Solve for x
    x = 5,524,079,839.76/85,214.75
  6. Step 6: Final answer
    x = 64,825.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.