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Finding the Fourth Proportional to 34,727, 52,084.68 and 9,768.68

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Solution

The fourth proportional to 34,727, 52,084.68 and 9,768.68 is: 14,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,727 : 52,084.68 = 9,768.68 : x
  2. Step 2: Convert to fraction form
    34,727/52,084.68 = 9,768.68/x
  3. Step 3: Cross multiply
    34,727x = 52,084.68 × 9,768.68
  4. Step 4: Simplify right side
    34,727x = 508,798,571.82
  5. Step 5: Solve for x
    x = 508,798,571.82/34,727
  6. Step 6: Final answer
    x = 14,651.38

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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.