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Finding the Fourth Proportional to 29,406.48, 44,105.13 and 9,683.34

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Solution

The fourth proportional to 29,406.48, 44,105.13 and 9,683.34 is: 14,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.48 : 44,105.13 = 9,683.34 : x
  2. Step 2: Convert to fraction form
    29,406.48/44,105.13 = 9,683.34/x
  3. Step 3: Cross multiply
    29,406.48x = 44,105.13 × 9,683.34
  4. Step 4: Simplify right side
    29,406.48x = 427,084,969.53
  5. Step 5: Solve for x
    x = 427,084,969.53/29,406.48
  6. Step 6: Final answer
    x = 14,523.50

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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.