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Finding the Fourth Proportional to 71,054.40, 106,581.60 and 49,857.60

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Solution

The fourth proportional to 71,054.40, 106,581.60 and 49,857.60 is: 74,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.40 : 106,581.60 = 49,857.60 : x
  2. Step 2: Convert to fraction form
    71,054.40/106,581.60 = 49,857.60/x
  3. Step 3: Cross multiply
    71,054.40x = 106,581.60 × 49,857.60
  4. Step 4: Simplify right side
    71,054.40x = 5,313,902,780.16
  5. Step 5: Solve for x
    x = 5,313,902,780.16/71,054.40
  6. Step 6: Final answer
    x = 74,786.40

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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.