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Finding the Fourth Proportional to 29,816.64, 44,729.76 and 9,035.28

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Solution

The fourth proportional to 29,816.64, 44,729.76 and 9,035.28 is: 13,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,816.64 : 44,729.76 = 9,035.28 : x
  2. Step 2: Convert to fraction form
    29,816.64/44,729.76 = 9,035.28/x
  3. Step 3: Cross multiply
    29,816.64x = 44,729.76 × 9,035.28
  4. Step 4: Simplify right side
    29,816.64x = 404,145,905.93
  5. Step 5: Solve for x
    x = 404,145,905.93/29,816.64
  6. Step 6: Final answer
    x = 13,554.37

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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.