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Finding the Fourth Proportional to 52,884, 79,318.21 and 17,349.07

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Solution

The fourth proportional to 52,884, 79,318.21 and 17,349.07 is: 26,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884 : 79,318.21 = 17,349.07 : x
  2. Step 2: Convert to fraction form
    52,884/79,318.21 = 17,349.07/x
  3. Step 3: Cross multiply
    52,884x = 79,318.21 × 17,349.07
  4. Step 4: Simplify right side
    52,884x = 1,376,096,935.90
  5. Step 5: Solve for x
    x = 1,376,096,935.90/52,884
  6. Step 6: Final answer
    x = 26,021.04

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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.