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Finding the Fourth Proportional to 34,568.64, 51,852.96 and 9,944.64

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Solution

The fourth proportional to 34,568.64, 51,852.96 and 9,944.64 is: 14,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568.64 : 51,852.96 = 9,944.64 : x
  2. Step 2: Convert to fraction form
    34,568.64/51,852.96 = 9,944.64/x
  3. Step 3: Cross multiply
    34,568.64x = 51,852.96 × 9,944.64
  4. Step 4: Simplify right side
    34,568.64x = 515,659,020.13
  5. Step 5: Solve for x
    x = 515,659,020.13/34,568.64
  6. Step 6: Final answer
    x = 14,916.96

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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.