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Finding the Fourth Proportional to 34,129.50, 51,194.25 and 9,505.50

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Solution

The fourth proportional to 34,129.50, 51,194.25 and 9,505.50 is: 14,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.50 : 51,194.25 = 9,505.50 : x
  2. Step 2: Convert to fraction form
    34,129.50/51,194.25 = 9,505.50/x
  3. Step 3: Cross multiply
    34,129.50x = 51,194.25 × 9,505.50
  4. Step 4: Simplify right side
    34,129.50x = 486,626,943.38
  5. Step 5: Solve for x
    x = 486,626,943.38/34,129.50
  6. Step 6: Final answer
    x = 14,258.25

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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.