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Finding the Fourth Proportional to 50,509.14, 69,700.50 and 27,538.46

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Solution

The fourth proportional to 50,509.14, 69,700.50 and 27,538.46 is: 38,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.14 : 69,700.50 = 27,538.46 : x
  2. Step 2: Convert to fraction form
    50,509.14/69,700.50 = 27,538.46/x
  3. Step 3: Cross multiply
    50,509.14x = 69,700.50 × 27,538.46
  4. Step 4: Simplify right side
    50,509.14x = 1,919,444,431.23
  5. Step 5: Solve for x
    x = 1,919,444,431.23/50,509.14
  6. Step 6: Final answer
    x = 38,001.92

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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.