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Finding the Fourth Proportional to 81,764.40, 122,646.60 and 42,333.60

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Solution

The fourth proportional to 81,764.40, 122,646.60 and 42,333.60 is: 63,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,764.40 : 122,646.60 = 42,333.60 : x
  2. Step 2: Convert to fraction form
    81,764.40/122,646.60 = 42,333.60/x
  3. Step 3: Cross multiply
    81,764.40x = 122,646.60 × 42,333.60
  4. Step 4: Simplify right side
    81,764.40x = 5,192,072,105.76
  5. Step 5: Solve for x
    x = 5,192,072,105.76/81,764.40
  6. Step 6: Final answer
    x = 63,500.40

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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.