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Finding the Fourth Proportional to 110,965.80, 166,470.30 and 47,785.80

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Solution

The fourth proportional to 110,965.80, 166,470.30 and 47,785.80 is: 71,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,965.80 : 166,470.30 = 47,785.80 : x
  2. Step 2: Convert to fraction form
    110,965.80/166,470.30 = 47,785.80/x
  3. Step 3: Cross multiply
    110,965.80x = 166,470.30 × 47,785.80
  4. Step 4: Simplify right side
    110,965.80x = 7,954,916,461.74
  5. Step 5: Solve for x
    x = 7,954,916,461.74/110,965.80
  6. Step 6: Final answer
    x = 71,688.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.