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Finding the Fourth Proportional to 110,828.80, 166,264.80 and 47,648.80

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Solution

The fourth proportional to 110,828.80, 166,264.80 and 47,648.80 is: 71,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,828.80 : 166,264.80 = 47,648.80 : x
  2. Step 2: Convert to fraction form
    110,828.80/166,264.80 = 47,648.80/x
  3. Step 3: Cross multiply
    110,828.80x = 166,264.80 × 47,648.80
  4. Step 4: Simplify right side
    110,828.80x = 7,922,318,202.24
  5. Step 5: Solve for x
    x = 7,922,318,202.24/110,828.80
  6. Step 6: Final answer
    x = 71,482.49

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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.