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Finding the Fourth Proportional to 30,794.46, 45,972.98 and 29,700.96

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Solution

The fourth proportional to 30,794.46, 45,972.98 and 29,700.96 is: 44,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.46 : 45,972.98 = 29,700.96 : x
  2. Step 2: Convert to fraction form
    30,794.46/45,972.98 = 29,700.96/x
  3. Step 3: Cross multiply
    30,794.46x = 45,972.98 × 29,700.96
  4. Step 4: Simplify right side
    30,794.46x = 1,365,441,491.56
  5. Step 5: Solve for x
    x = 1,365,441,491.56/30,794.46
  6. Step 6: Final answer
    x = 44,340.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.