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Finding the Fourth Proportional to 50,614.92, 69,848.24 and 27,955.40

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Solution

The fourth proportional to 50,614.92, 69,848.24 and 27,955.40 is: 38,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,614.92 : 69,848.24 = 27,955.40 : x
  2. Step 2: Convert to fraction form
    50,614.92/69,848.24 = 27,955.40/x
  3. Step 3: Cross multiply
    50,614.92x = 69,848.24 × 27,955.40
  4. Step 4: Simplify right side
    50,614.92x = 1,952,634,999.48
  5. Step 5: Solve for x
    x = 1,952,634,999.48/50,614.92
  6. Step 6: Final answer
    x = 38,578.25

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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.