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Finding the Fourth Proportional to 48,503.60, 66,914.29 and 27,796.13

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Solution

The fourth proportional to 48,503.60, 66,914.29 and 27,796.13 is: 38,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,503.60 : 66,914.29 = 27,796.13 : x
  2. Step 2: Convert to fraction form
    48,503.60/66,914.29 = 27,796.13/x
  3. Step 3: Cross multiply
    48,503.60x = 66,914.29 × 27,796.13
  4. Step 4: Simplify right side
    48,503.60x = 1,859,958,303.70
  5. Step 5: Solve for x
    x = 1,859,958,303.70/48,503.60
  6. Step 6: Final answer
    x = 38,346.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.