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Finding the Fourth Proportional to 29,568.64, 44,352.96 and 17,248

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Solution

The fourth proportional to 29,568.64, 44,352.96 and 17,248 is: 25,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568.64 : 44,352.96 = 17,248 : x
  2. Step 2: Convert to fraction form
    29,568.64/44,352.96 = 17,248/x
  3. Step 3: Cross multiply
    29,568.64x = 44,352.96 × 17,248
  4. Step 4: Simplify right side
    29,568.64x = 764,999,854.08
  5. Step 5: Solve for x
    x = 764,999,854.08/29,568.64
  6. Step 6: Final answer
    x = 25,872.00

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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.