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Finding the Fourth Proportional to 50,996, 76,500.48 and 14,060

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Solution

The fourth proportional to 50,996, 76,500.48 and 14,060 is: 21,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,996 : 76,500.48 = 14,060 : x
  2. Step 2: Convert to fraction form
    50,996/76,500.48 = 14,060/x
  3. Step 3: Cross multiply
    50,996x = 76,500.48 × 14,060
  4. Step 4: Simplify right side
    50,996x = 1,075,596,748.80
  5. Step 5: Solve for x
    x = 1,075,596,748.80/50,996
  6. Step 6: Final answer
    x = 21,091.79

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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.