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Finding the Fourth Proportional to 50,577.50, 69,799.14 and 28,221.50

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Solution

The fourth proportional to 50,577.50, 69,799.14 and 28,221.50 is: 38,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,577.50 : 69,799.14 = 28,221.50 : x
  2. Step 2: Convert to fraction form
    50,577.50/69,799.14 = 28,221.50/x
  3. Step 3: Cross multiply
    50,577.50x = 69,799.14 × 28,221.50
  4. Step 4: Simplify right side
    50,577.50x = 1,969,836,429.51
  5. Step 5: Solve for x
    x = 1,969,836,429.51/50,577.50
  6. Step 6: Final answer
    x = 38,946.89

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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.