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Finding the Fourth Proportional to 53,401, 73,690.50 and 29,526.28

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Solution

The fourth proportional to 53,401, 73,690.50 and 29,526.28 is: 40,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,401 : 73,690.50 = 29,526.28 : x
  2. Step 2: Convert to fraction form
    53,401/73,690.50 = 29,526.28/x
  3. Step 3: Cross multiply
    53,401x = 73,690.50 × 29,526.28
  4. Step 4: Simplify right side
    53,401x = 2,175,806,336.34
  5. Step 5: Solve for x
    x = 2,175,806,336.34/53,401
  6. Step 6: Final answer
    x = 40,744.67

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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.