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Finding the Fourth Proportional to 50,648.69, 69,894.90 and 27,988.54

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Solution

The fourth proportional to 50,648.69, 69,894.90 and 27,988.54 is: 38,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,648.69 : 69,894.90 = 27,988.54 : x
  2. Step 2: Convert to fraction form
    50,648.69/69,894.90 = 27,988.54/x
  3. Step 3: Cross multiply
    50,648.69x = 69,894.90 × 27,988.54
  4. Step 4: Simplify right side
    50,648.69x = 1,956,256,029.71
  5. Step 5: Solve for x
    x = 1,956,256,029.71/50,648.69
  6. Step 6: Final answer
    x = 38,624.02

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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.