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Finding the Fourth Proportional to 110,948.80, 166,444.80 and 47,768.80

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Solution

The fourth proportional to 110,948.80, 166,444.80 and 47,768.80 is: 71,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,948.80 : 166,444.80 = 47,768.80 : x
  2. Step 2: Convert to fraction form
    110,948.80/166,444.80 = 47,768.80/x
  3. Step 3: Cross multiply
    110,948.80x = 166,444.80 × 47,768.80
  4. Step 4: Simplify right side
    110,948.80x = 7,950,868,362.24
  5. Step 5: Solve for x
    x = 7,950,868,362.24/110,948.80
  6. Step 6: Final answer
    x = 71,662.50

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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.