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Finding the Fourth Proportional to 85,615.79, 118,143.38 and 47,882.75

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Solution

The fourth proportional to 85,615.79, 118,143.38 and 47,882.75 is: 66,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,615.79 : 118,143.38 = 47,882.75 : x
  2. Step 2: Convert to fraction form
    85,615.79/118,143.38 = 47,882.75/x
  3. Step 3: Cross multiply
    85,615.79x = 118,143.38 × 47,882.75
  4. Step 4: Simplify right side
    85,615.79x = 5,657,029,689.28
  5. Step 5: Solve for x
    x = 5,657,029,689.28/85,615.79
  6. Step 6: Final answer
    x = 66,074.61

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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.