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Finding the Fourth Proportional to 34,025.50, 51,041.20 and 9,401.50

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Solution

The fourth proportional to 34,025.50, 51,041.20 and 9,401.50 is: 14,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,025.50 : 51,041.20 = 9,401.50 : x
  2. Step 2: Convert to fraction form
    34,025.50/51,041.20 = 9,401.50/x
  3. Step 3: Cross multiply
    34,025.50x = 51,041.20 × 9,401.50
  4. Step 4: Simplify right side
    34,025.50x = 479,863,841.80
  5. Step 5: Solve for x
    x = 479,863,841.80/34,025.50
  6. Step 6: Final answer
    x = 14,103.07

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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.