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Finding the Fourth Proportional to 85,416.94, 117,882.67 and 47,698.48

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Solution

The fourth proportional to 85,416.94, 117,882.67 and 47,698.48 is: 65,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416.94 : 117,882.67 = 47,698.48 : x
  2. Step 2: Convert to fraction form
    85,416.94/117,882.67 = 47,698.48/x
  3. Step 3: Cross multiply
    85,416.94x = 117,882.67 × 47,698.48
  4. Step 4: Simplify right side
    85,416.94x = 5,622,823,763.39
  5. Step 5: Solve for x
    x = 5,622,823,763.39/85,416.94
  6. Step 6: Final answer
    x = 65,827.97

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1.5x scale

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.