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Finding the Fourth Proportional to 35,072.88, 52,574.68 and 14,000.22

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Solution

The fourth proportional to 35,072.88, 52,574.68 and 14,000.22 is: 20,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,072.88 : 52,574.68 = 14,000.22 : x
  2. Step 2: Convert to fraction form
    35,072.88/52,574.68 = 14,000.22/x
  3. Step 3: Cross multiply
    35,072.88x = 52,574.68 × 14,000.22
  4. Step 4: Simplify right side
    35,072.88x = 736,057,086.43
  5. Step 5: Solve for x
    x = 736,057,086.43/35,072.88
  6. Step 6: Final answer
    x = 20,986.50

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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.