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Finding the Fourth Proportional to 34,666.38, 52,002 and 17,131.50

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Solution

The fourth proportional to 34,666.38, 52,002 and 17,131.50 is: 25,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,666.38 : 52,002 = 17,131.50 : x
  2. Step 2: Convert to fraction form
    34,666.38/52,002 = 17,131.50/x
  3. Step 3: Cross multiply
    34,666.38x = 52,002 × 17,131.50
  4. Step 4: Simplify right side
    34,666.38x = 890,872,263
  5. Step 5: Solve for x
    x = 890,872,263/34,666.38
  6. Step 6: Final answer
    x = 25,698.45

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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.