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Finding the Fourth Proportional to 50,648.67, 69,894.75 and 27,987.60

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Solution

The fourth proportional to 50,648.67, 69,894.75 and 27,987.60 is: 38,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,648.67 : 69,894.75 = 27,987.60 : x
  2. Step 2: Convert to fraction form
    50,648.67/69,894.75 = 27,987.60/x
  3. Step 3: Cross multiply
    50,648.67x = 69,894.75 × 27,987.60
  4. Step 4: Simplify right side
    50,648.67x = 1,956,186,305.10
  5. Step 5: Solve for x
    x = 1,956,186,305.10/50,648.67
  6. Step 6: Final answer
    x = 38,622.66

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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.