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Finding the Fourth Proportional to 50,902.23, 70,242.70 and 28,240.98

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Solution

The fourth proportional to 50,902.23, 70,242.70 and 28,240.98 is: 38,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.23 : 70,242.70 = 28,240.98 : x
  2. Step 2: Convert to fraction form
    50,902.23/70,242.70 = 28,240.98/x
  3. Step 3: Cross multiply
    50,902.23x = 70,242.70 × 28,240.98
  4. Step 4: Simplify right side
    50,902.23x = 1,983,722,193.43
  5. Step 5: Solve for x
    x = 1,983,722,193.43/50,902.23
  6. Step 6: Final answer
    x = 38,971.23

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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.