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Finding the Fourth Proportional to 50,871.84, 70,199.70 and 28,209.99

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Solution

The fourth proportional to 50,871.84, 70,199.70 and 28,209.99 is: 38,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871.84 : 70,199.70 = 28,209.99 : x
  2. Step 2: Convert to fraction form
    50,871.84/70,199.70 = 28,209.99/x
  3. Step 3: Cross multiply
    50,871.84x = 70,199.70 × 28,209.99
  4. Step 4: Simplify right side
    50,871.84x = 1,980,332,835.00
  5. Step 5: Solve for x
    x = 1,980,332,835.00/50,871.84
  6. Step 6: Final answer
    x = 38,927.88

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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.