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Finding the Fourth Proportional to 29,400, 44,096.49 and 9,673.66

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Solution

The fourth proportional to 29,400, 44,096.49 and 9,673.66 is: 14,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400 : 44,096.49 = 9,673.66 : x
  2. Step 2: Convert to fraction form
    29,400/44,096.49 = 9,673.66/x
  3. Step 3: Cross multiply
    29,400x = 44,096.49 × 9,673.66
  4. Step 4: Simplify right side
    29,400x = 426,574,451.45
  5. Step 5: Solve for x
    x = 426,574,451.45/29,400
  6. Step 6: Final answer
    x = 14,509.34

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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.