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Finding the Fourth Proportional to 50,871.14, 70,203 and 28,211.08

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Solution

The fourth proportional to 50,871.14, 70,203 and 28,211.08 is: 38,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871.14 : 70,203 = 28,211.08 : x
  2. Step 2: Convert to fraction form
    50,871.14/70,203 = 28,211.08/x
  3. Step 3: Cross multiply
    50,871.14x = 70,203 × 28,211.08
  4. Step 4: Simplify right side
    50,871.14x = 1,980,502,449.24
  5. Step 5: Solve for x
    x = 1,980,502,449.24/50,871.14
  6. Step 6: Final answer
    x = 38,931.75

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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.