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Finding the Fourth Proportional to 50,631.60, 69,869.82 and 27,970.20

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Solution

The fourth proportional to 50,631.60, 69,869.82 and 27,970.20 is: 38,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,631.60 : 69,869.82 = 27,970.20 : x
  2. Step 2: Convert to fraction form
    50,631.60/69,869.82 = 27,970.20/x
  3. Step 3: Cross multiply
    50,631.60x = 69,869.82 × 27,970.20
  4. Step 4: Simplify right side
    50,631.60x = 1,954,272,839.36
  5. Step 5: Solve for x
    x = 1,954,272,839.36/50,631.60
  6. Step 6: Final answer
    x = 38,597.89

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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.