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Finding the Fourth Proportional to 50,309.93, 69,423.19 and 27,648.68

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Solution

The fourth proportional to 50,309.93, 69,423.19 and 27,648.68 is: 38,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,309.93 : 69,423.19 = 27,648.68 : x
  2. Step 2: Convert to fraction form
    50,309.93/69,423.19 = 27,648.68/x
  3. Step 3: Cross multiply
    50,309.93x = 69,423.19 × 27,648.68
  4. Step 4: Simplify right side
    50,309.93x = 1,919,459,148.65
  5. Step 5: Solve for x
    x = 1,919,459,148.65/50,309.93
  6. Step 6: Final answer
    x = 38,152.69

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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.