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Finding the Fourth Proportional to 52,952.16, 79,428.12 and 41,274

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Solution

The fourth proportional to 52,952.16, 79,428.12 and 41,274 is: 61,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.16 : 79,428.12 = 41,274 : x
  2. Step 2: Convert to fraction form
    52,952.16/79,428.12 = 41,274/x
  3. Step 3: Cross multiply
    52,952.16x = 79,428.12 × 41,274
  4. Step 4: Simplify right side
    52,952.16x = 3,278,316,224.88
  5. Step 5: Solve for x
    x = 3,278,316,224.88/52,952.16
  6. Step 6: Final answer
    x = 61,910.91

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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.