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Finding the Fourth Proportional to 34,119.50, 51,172.19 and 9,153.63

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Solution

The fourth proportional to 34,119.50, 51,172.19 and 9,153.63 is: 13,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,119.50 : 51,172.19 = 9,153.63 : x
  2. Step 2: Convert to fraction form
    34,119.50/51,172.19 = 9,153.63/x
  3. Step 3: Cross multiply
    34,119.50x = 51,172.19 × 9,153.63
  4. Step 4: Simplify right side
    34,119.50x = 468,411,293.55
  5. Step 5: Solve for x
    x = 468,411,293.55/34,119.50
  6. Step 6: Final answer
    x = 13,728.55

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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.