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Finding the Fourth Proportional to 50,946.34, 76,401.50 and 20,952.04

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Solution

The fourth proportional to 50,946.34, 76,401.50 and 20,952.04 is: 31,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,946.34 : 76,401.50 = 20,952.04 : x
  2. Step 2: Convert to fraction form
    50,946.34/76,401.50 = 20,952.04/x
  3. Step 3: Cross multiply
    50,946.34x = 76,401.50 × 20,952.04
  4. Step 4: Simplify right side
    50,946.34x = 1,600,767,284.06
  5. Step 5: Solve for x
    x = 1,600,767,284.06/50,946.34
  6. Step 6: Final answer
    x = 31,420.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.