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Finding the Fourth Proportional to 34,343.03, 51,506.45 and 9,377.14

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Solution

The fourth proportional to 34,343.03, 51,506.45 and 9,377.14 is: 14,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,343.03 : 51,506.45 = 9,377.14 : x
  2. Step 2: Convert to fraction form
    34,343.03/51,506.45 = 9,377.14/x
  3. Step 3: Cross multiply
    34,343.03x = 51,506.45 × 9,377.14
  4. Step 4: Simplify right side
    34,343.03x = 482,983,192.55
  5. Step 5: Solve for x
    x = 482,983,192.55/34,343.03
  6. Step 6: Final answer
    x = 14,063.50

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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.