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Finding the Fourth Proportional to 50,853.81, 70,182.39 and 28,199.90

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Solution

The fourth proportional to 50,853.81, 70,182.39 and 28,199.90 is: 38,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,853.81 : 70,182.39 = 28,199.90 : x
  2. Step 2: Convert to fraction form
    50,853.81/70,182.39 = 28,199.90/x
  3. Step 3: Cross multiply
    50,853.81x = 70,182.39 × 28,199.90
  4. Step 4: Simplify right side
    50,853.81x = 1,979,136,397.78
  5. Step 5: Solve for x
    x = 1,979,136,397.78/50,853.81
  6. Step 6: Final answer
    x = 38,918.16

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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.