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Finding the Fourth Proportional to 34,135.40, 51,203.12 and 10,763.66

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Solution

The fourth proportional to 34,135.40, 51,203.12 and 10,763.66 is: 16,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,135.40 : 51,203.12 = 10,763.66 : x
  2. Step 2: Convert to fraction form
    34,135.40/51,203.12 = 10,763.66/x
  3. Step 3: Cross multiply
    34,135.40x = 51,203.12 × 10,763.66
  4. Step 4: Simplify right side
    34,135.40x = 551,132,974.62
  5. Step 5: Solve for x
    x = 551,132,974.62/34,135.40
  6. Step 6: Final answer
    x = 16,145.50

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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.