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Finding the Fourth Proportional to 50,641.05, 69,888.74 and 27,982.02

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Solution

The fourth proportional to 50,641.05, 69,888.74 and 27,982.02 is: 38,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.05 : 69,888.74 = 27,982.02 : x
  2. Step 2: Convert to fraction form
    50,641.05/69,888.74 = 27,982.02/x
  3. Step 3: Cross multiply
    50,641.05x = 69,888.74 × 27,982.02
  4. Step 4: Simplify right side
    50,641.05x = 1,955,627,980.54
  5. Step 5: Solve for x
    x = 1,955,627,980.54/50,641.05
  6. Step 6: Final answer
    x = 38,617.45

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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.