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Finding the Fourth Proportional to 81,709.60, 122,564.40 and 52,039.30

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Solution

The fourth proportional to 81,709.60, 122,564.40 and 52,039.30 is: 78,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,709.60 : 122,564.40 = 52,039.30 : x
  2. Step 2: Convert to fraction form
    81,709.60/122,564.40 = 52,039.30/x
  3. Step 3: Cross multiply
    81,709.60x = 122,564.40 × 52,039.30
  4. Step 4: Simplify right side
    81,709.60x = 6,378,165,580.92
  5. Step 5: Solve for x
    x = 6,378,165,580.92/81,709.60
  6. Step 6: Final answer
    x = 78,058.95

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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.