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Finding the Fourth Proportional to 30,737.73, 46,106.45 and 9,679.56

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Solution

The fourth proportional to 30,737.73, 46,106.45 and 9,679.56 is: 14,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.73 : 46,106.45 = 9,679.56 : x
  2. Step 2: Convert to fraction form
    30,737.73/46,106.45 = 9,679.56/x
  3. Step 3: Cross multiply
    30,737.73x = 46,106.45 × 9,679.56
  4. Step 4: Simplify right side
    30,737.73x = 446,289,964.16
  5. Step 5: Solve for x
    x = 446,289,964.16/30,737.73
  6. Step 6: Final answer
    x = 14,519.29

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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.